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Finding the Fourth Proportional to 82,954.98, 114,477.98 and 45,229.23

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Solution

The fourth proportional to 82,954.98, 114,477.98 and 45,229.23 is: 62,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.98 : 114,477.98 = 45,229.23 : x
  2. Step 2: Convert to fraction form
    82,954.98/114,477.98 = 45,229.23/x
  3. Step 3: Cross multiply
    82,954.98x = 114,477.98 × 45,229.23
  4. Step 4: Simplify right side
    82,954.98x = 5,177,750,314.97
  5. Step 5: Solve for x
    x = 5,177,750,314.97/82,954.98
  6. Step 6: Final answer
    x = 62,416.39

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Half scale
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Double scale
Find fourth proportional to 82,955.98, 114,479.36 and 45,230.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.