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Finding the Fourth Proportional to 31,586.92, 47,385.06 and 10,520.08

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Solution

The fourth proportional to 31,586.92, 47,385.06 and 10,520.08 is: 15,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.92 : 47,385.06 = 10,520.08 : x
  2. Step 2: Convert to fraction form
    31,586.92/47,385.06 = 10,520.08/x
  3. Step 3: Cross multiply
    31,586.92x = 47,385.06 × 10,520.08
  4. Step 4: Simplify right side
    31,586.92x = 498,494,622.00
  5. Step 5: Solve for x
    x = 498,494,622.00/31,586.92
  6. Step 6: Final answer
    x = 15,781.68

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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.