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Finding the Fourth Proportional to 31,589.66, 47,342.50 and 13,793.42

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Solution

The fourth proportional to 31,589.66, 47,342.50 and 13,793.42 is: 20,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.66 : 47,342.50 = 13,793.42 : x
  2. Step 2: Convert to fraction form
    31,589.66/47,342.50 = 13,793.42/x
  3. Step 3: Cross multiply
    31,589.66x = 47,342.50 × 13,793.42
  4. Step 4: Simplify right side
    31,589.66x = 653,015,070.22
  5. Step 5: Solve for x
    x = 653,015,070.22/31,589.66
  6. Step 6: Final answer
    x = 20,671.80

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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.