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Finding the Fourth Proportional to 82,901, 114,403.38 and 45,175.26

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Solution

The fourth proportional to 82,901, 114,403.38 and 45,175.26 is: 62,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,901 : 114,403.38 = 45,175.26 : x
  2. Step 2: Convert to fraction form
    82,901/114,403.38 = 45,175.26/x
  3. Step 3: Cross multiply
    82,901x = 114,403.38 × 45,175.26
  4. Step 4: Simplify right side
    82,901x = 5,168,202,436.38
  5. Step 5: Solve for x
    x = 5,168,202,436.38/82,901
  6. Step 6: Final answer
    x = 62,341.86

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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.