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Finding the Fourth Proportional to 31,776.54, 47,665.29 and 15,138.30

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Solution

The fourth proportional to 31,776.54, 47,665.29 and 15,138.30 is: 22,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.54 : 47,665.29 = 15,138.30 : x
  2. Step 2: Convert to fraction form
    31,776.54/47,665.29 = 15,138.30/x
  3. Step 3: Cross multiply
    31,776.54x = 47,665.29 × 15,138.30
  4. Step 4: Simplify right side
    31,776.54x = 721,571,459.61
  5. Step 5: Solve for x
    x = 721,571,459.61/31,776.54
  6. Step 6: Final answer
    x = 22,707.68

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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.