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Finding the Fourth Proportional to 31,601.88, 47,428.74 and 16,023.96

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Solution

The fourth proportional to 31,601.88, 47,428.74 and 16,023.96 is: 24,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.88 : 47,428.74 = 16,023.96 : x
  2. Step 2: Convert to fraction form
    31,601.88/47,428.74 = 16,023.96/x
  3. Step 3: Cross multiply
    31,601.88x = 47,428.74 × 16,023.96
  4. Step 4: Simplify right side
    31,601.88x = 759,996,232.61
  5. Step 5: Solve for x
    x = 759,996,232.61/31,601.88
  6. Step 6: Final answer
    x = 24,049.08

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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.