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Finding the Fourth Proportional to 69,842.62, 96,382.81 and 38,011.74

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Solution

The fourth proportional to 69,842.62, 96,382.81 and 38,011.74 is: 52,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,842.62 : 96,382.81 = 38,011.74 : x
  2. Step 2: Convert to fraction form
    69,842.62/96,382.81 = 38,011.74/x
  3. Step 3: Cross multiply
    69,842.62x = 96,382.81 × 38,011.74
  4. Step 4: Simplify right side
    69,842.62x = 3,663,678,314.19
  5. Step 5: Solve for x
    x = 3,663,678,314.19/69,842.62
  6. Step 6: Final answer
    x = 52,456.20

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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.