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Finding the Fourth Proportional to 86,414.64, 129,641.12 and 36,537.38

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Solution

The fourth proportional to 86,414.64, 129,641.12 and 36,537.38 is: 54,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414.64 : 129,641.12 = 36,537.38 : x
  2. Step 2: Convert to fraction form
    86,414.64/129,641.12 = 36,537.38/x
  3. Step 3: Cross multiply
    86,414.64x = 129,641.12 × 36,537.38
  4. Step 4: Simplify right side
    86,414.64x = 4,736,746,034.17
  5. Step 5: Solve for x
    x = 4,736,746,034.17/86,414.64
  6. Step 6: Final answer
    x = 54,814.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.