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Finding the Fourth Proportional to 82,042.50, 113,218.70 and 44,316.76

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Solution

The fourth proportional to 82,042.50, 113,218.70 and 44,316.76 is: 61,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.50 : 113,218.70 = 44,316.76 : x
  2. Step 2: Convert to fraction form
    82,042.50/113,218.70 = 44,316.76/x
  3. Step 3: Cross multiply
    82,042.50x = 113,218.70 × 44,316.76
  4. Step 4: Simplify right side
    82,042.50x = 5,017,485,955.41
  5. Step 5: Solve for x
    x = 5,017,485,955.41/82,042.50
  6. Step 6: Final answer
    x = 61,157.16

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Half scale
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Double scale
Find fourth proportional to 82,043.50, 113,220.08 and 44,317.76
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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.