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Finding the Fourth Proportional to 31,462.68, 47,193.96 and 8,089.20

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Solution

The fourth proportional to 31,462.68, 47,193.96 and 8,089.20 is: 12,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.68 : 47,193.96 = 8,089.20 : x
  2. Step 2: Convert to fraction form
    31,462.68/47,193.96 = 8,089.20/x
  3. Step 3: Cross multiply
    31,462.68x = 47,193.96 × 8,089.20
  4. Step 4: Simplify right side
    31,462.68x = 381,761,381.23
  5. Step 5: Solve for x
    x = 381,761,381.23/31,462.68
  6. Step 6: Final answer
    x = 12,133.78

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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.