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Finding the Fourth Proportional to 31,910.76, 47,862.76 and 8,539.56

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Solution

The fourth proportional to 31,910.76, 47,862.76 and 8,539.56 is: 12,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.76 : 47,862.76 = 8,539.56 : x
  2. Step 2: Convert to fraction form
    31,910.76/47,862.76 = 8,539.56/x
  3. Step 3: Cross multiply
    31,910.76x = 47,862.76 × 8,539.56
  4. Step 4: Simplify right side
    31,910.76x = 408,726,910.79
  5. Step 5: Solve for x
    x = 408,726,910.79/31,910.76
  6. Step 6: Final answer
    x = 12,808.44

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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.