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Finding the Fourth Proportional to 31,909.52, 47,874.04 and 16,338.16

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Solution

The fourth proportional to 31,909.52, 47,874.04 and 16,338.16 is: 24,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.52 : 47,874.04 = 16,338.16 : x
  2. Step 2: Convert to fraction form
    31,909.52/47,874.04 = 16,338.16/x
  3. Step 3: Cross multiply
    31,909.52x = 47,874.04 × 16,338.16
  4. Step 4: Simplify right side
    31,909.52x = 782,173,725.37
  5. Step 5: Solve for x
    x = 782,173,725.37/31,909.52
  6. Step 6: Final answer
    x = 24,512.24

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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.