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Finding the Fourth Proportional to 31,718.72, 47,545.68 and 20,647.64

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Solution

The fourth proportional to 31,718.72, 47,545.68 and 20,647.64 is: 30,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.72 : 47,545.68 = 20,647.64 : x
  2. Step 2: Convert to fraction form
    31,718.72/47,545.68 = 20,647.64/x
  3. Step 3: Cross multiply
    31,718.72x = 47,545.68 × 20,647.64
  4. Step 4: Simplify right side
    31,718.72x = 981,706,084.20
  5. Step 5: Solve for x
    x = 981,706,084.20/31,718.72
  6. Step 6: Final answer
    x = 30,950.37

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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.