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Finding the Fourth Proportional to 31,713.10, 47,565.88 and 8,341.36

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Solution

The fourth proportional to 31,713.10, 47,565.88 and 8,341.36 is: 12,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.10 : 47,565.88 = 8,341.36 : x
  2. Step 2: Convert to fraction form
    31,713.10/47,565.88 = 8,341.36/x
  3. Step 3: Cross multiply
    31,713.10x = 47,565.88 × 8,341.36
  4. Step 4: Simplify right side
    31,713.10x = 396,764,128.80
  5. Step 5: Solve for x
    x = 396,764,128.80/31,713.10
  6. Step 6: Final answer
    x = 12,511.05

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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.