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Finding the Fourth Proportional to 31,712.60, 47,565.13 and 8,340.86

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Solution

The fourth proportional to 31,712.60, 47,565.13 and 8,340.86 is: 12,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.60 : 47,565.13 = 8,340.86 : x
  2. Step 2: Convert to fraction form
    31,712.60/47,565.13 = 8,340.86/x
  3. Step 3: Cross multiply
    31,712.60x = 47,565.13 × 8,340.86
  4. Step 4: Simplify right side
    31,712.60x = 396,734,090.21
  5. Step 5: Solve for x
    x = 396,734,090.21/31,712.60
  6. Step 6: Final answer
    x = 12,510.30

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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.