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Finding the Fourth Proportional to 31,966.72, 47,944.31 and 8,587.69

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Solution

The fourth proportional to 31,966.72, 47,944.31 and 8,587.69 is: 12,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.72 : 47,944.31 = 8,587.69 : x
  2. Step 2: Convert to fraction form
    31,966.72/47,944.31 = 8,587.69/x
  3. Step 3: Cross multiply
    31,966.72x = 47,944.31 × 8,587.69
  4. Step 4: Simplify right side
    31,966.72x = 411,730,708.74
  5. Step 5: Solve for x
    x = 411,730,708.74/31,966.72
  6. Step 6: Final answer
    x = 12,879.98

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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.