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Finding the Fourth Proportional to 31,712.33, 47,564.70 and 8,340.59

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Solution

The fourth proportional to 31,712.33, 47,564.70 and 8,340.59 is: 12,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.33 : 47,564.70 = 8,340.59 : x
  2. Step 2: Convert to fraction form
    31,712.33/47,564.70 = 8,340.59/x
  3. Step 3: Cross multiply
    31,712.33x = 47,564.70 × 8,340.59
  4. Step 4: Simplify right side
    31,712.33x = 396,717,423.35
  5. Step 5: Solve for x
    x = 396,717,423.35/31,712.33
  6. Step 6: Final answer
    x = 12,509.88

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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.