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Finding the Fourth Proportional to 70,654.28, 97,502.96 and 38,825.24

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Solution

The fourth proportional to 70,654.28, 97,502.96 and 38,825.24 is: 53,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.28 : 97,502.96 = 38,825.24 : x
  2. Step 2: Convert to fraction form
    70,654.28/97,502.96 = 38,825.24/x
  3. Step 3: Cross multiply
    70,654.28x = 97,502.96 × 38,825.24
  4. Step 4: Simplify right side
    70,654.28x = 3,785,575,822.71
  5. Step 5: Solve for x
    x = 3,785,575,822.71/70,654.28
  6. Step 6: Final answer
    x = 53,578.86

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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.