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Finding the Fourth Proportional to 31,724.72, 47,587.62 and 8,350.28

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Solution

The fourth proportional to 31,724.72, 47,587.62 and 8,350.28 is: 12,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724.72 : 47,587.62 = 8,350.28 : x
  2. Step 2: Convert to fraction form
    31,724.72/47,587.62 = 8,350.28/x
  3. Step 3: Cross multiply
    31,724.72x = 47,587.62 × 8,350.28
  4. Step 4: Simplify right side
    31,724.72x = 397,369,951.53
  5. Step 5: Solve for x
    x = 397,369,951.53/31,724.72
  6. Step 6: Final answer
    x = 12,525.56

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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.