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Finding the Fourth Proportional to 70,083.64, 96,715.92 and 38,252.80

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Solution

The fourth proportional to 70,083.64, 96,715.92 and 38,252.80 is: 52,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.64 : 96,715.92 = 38,252.80 : x
  2. Step 2: Convert to fraction form
    70,083.64/96,715.92 = 38,252.80/x
  3. Step 3: Cross multiply
    70,083.64x = 96,715.92 × 38,252.80
  4. Step 4: Simplify right side
    70,083.64x = 3,699,654,744.58
  5. Step 5: Solve for x
    x = 3,699,654,744.58/70,083.64
  6. Step 6: Final answer
    x = 52,789.14

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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.