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Finding the Fourth Proportional to 37,103.71, 55,654.78 and 9,023.92

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Solution

The fourth proportional to 37,103.71, 55,654.78 and 9,023.92 is: 13,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.71 : 55,654.78 = 9,023.92 : x
  2. Step 2: Convert to fraction form
    37,103.71/55,654.78 = 9,023.92/x
  3. Step 3: Cross multiply
    37,103.71x = 55,654.78 × 9,023.92
  4. Step 4: Simplify right side
    37,103.71x = 502,224,282.34
  5. Step 5: Solve for x
    x = 502,224,282.34/37,103.71
  6. Step 6: Final answer
    x = 13,535.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.