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Finding the Fourth Proportional to 31,737.92, 47,635.43 and 16,959.47

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Solution

The fourth proportional to 31,737.92, 47,635.43 and 16,959.47 is: 25,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.92 : 47,635.43 = 16,959.47 : x
  2. Step 2: Convert to fraction form
    31,737.92/47,635.43 = 16,959.47/x
  3. Step 3: Cross multiply
    31,737.92x = 47,635.43 × 16,959.47
  4. Step 4: Simplify right side
    31,737.92x = 807,871,646.02
  5. Step 5: Solve for x
    x = 807,871,646.02/31,737.92
  6. Step 6: Final answer
    x = 25,454.46

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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.