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Finding the Fourth Proportional to 38,549.92, 53,207.80 and 25,097.76

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Solution

The fourth proportional to 38,549.92, 53,207.80 and 25,097.76 is: 34,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.92 : 53,207.80 = 25,097.76 : x
  2. Step 2: Convert to fraction form
    38,549.92/53,207.80 = 25,097.76/x
  3. Step 3: Cross multiply
    38,549.92x = 53,207.80 × 25,097.76
  4. Step 4: Simplify right side
    38,549.92x = 1,335,396,594.53
  5. Step 5: Solve for x
    x = 1,335,396,594.53/38,549.92
  6. Step 6: Final answer
    x = 34,640.71

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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.