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Finding the Fourth Proportional to 31,417.70, 47,121.66 and 20,402.48

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Solution

The fourth proportional to 31,417.70, 47,121.66 and 20,402.48 is: 30,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.70 : 47,121.66 = 20,402.48 : x
  2. Step 2: Convert to fraction form
    31,417.70/47,121.66 = 20,402.48/x
  3. Step 3: Cross multiply
    31,417.70x = 47,121.66 × 20,402.48
  4. Step 4: Simplify right side
    31,417.70x = 961,398,725.72
  5. Step 5: Solve for x
    x = 961,398,725.72/31,417.70
  6. Step 6: Final answer
    x = 30,600.54

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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.