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Finding the Fourth Proportional to 31,602.38, 47,429.49 and 16,024.46

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Solution

The fourth proportional to 31,602.38, 47,429.49 and 16,024.46 is: 24,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.38 : 47,429.49 = 16,024.46 : x
  2. Step 2: Convert to fraction form
    31,602.38/47,429.49 = 16,024.46/x
  3. Step 3: Cross multiply
    31,602.38x = 47,429.49 × 16,024.46
  4. Step 4: Simplify right side
    31,602.38x = 760,031,965.33
  5. Step 5: Solve for x
    x = 760,031,965.33/31,602.38
  6. Step 6: Final answer
    x = 24,049.83

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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.