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Finding the Fourth Proportional to 31,500.88, 47,251.52 and 8,127.52

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Solution

The fourth proportional to 31,500.88, 47,251.52 and 8,127.52 is: 12,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.88 : 47,251.52 = 8,127.52 : x
  2. Step 2: Convert to fraction form
    31,500.88/47,251.52 = 8,127.52/x
  3. Step 3: Cross multiply
    31,500.88x = 47,251.52 × 8,127.52
  4. Step 4: Simplify right side
    31,500.88x = 384,037,396.94
  5. Step 5: Solve for x
    x = 384,037,396.94/31,500.88
  6. Step 6: Final answer
    x = 12,191.32

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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.