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Finding the Fourth Proportional to 31,932.05, 47,896.85 and 8,557.88

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Solution

The fourth proportional to 31,932.05, 47,896.85 and 8,557.88 is: 12,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.05 : 47,896.85 = 8,557.88 : x
  2. Step 2: Convert to fraction form
    31,932.05/47,896.85 = 8,557.88/x
  3. Step 3: Cross multiply
    31,932.05x = 47,896.85 × 8,557.88
  4. Step 4: Simplify right side
    31,932.05x = 409,895,276.59
  5. Step 5: Solve for x
    x = 409,895,276.59/31,932.05
  6. Step 6: Final answer
    x = 12,836.49

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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.