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Finding the Fourth Proportional to 38,414.76, 53,020.86 and 24,962.65

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Solution

The fourth proportional to 38,414.76, 53,020.86 and 24,962.65 is: 34,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.76 : 53,020.86 = 24,962.65 : x
  2. Step 2: Convert to fraction form
    38,414.76/53,020.86 = 24,962.65/x
  3. Step 3: Cross multiply
    38,414.76x = 53,020.86 × 24,962.65
  4. Step 4: Simplify right side
    38,414.76x = 1,323,541,085.13
  5. Step 5: Solve for x
    x = 1,323,541,085.13/38,414.76
  6. Step 6: Final answer
    x = 34,453.98

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