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Finding the Fourth Proportional to 31,793.74, 47,737.43 and 17,781.22

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Solution

The fourth proportional to 31,793.74, 47,737.43 and 17,781.22 is: 26,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.74 : 47,737.43 = 17,781.22 : x
  2. Step 2: Convert to fraction form
    31,793.74/47,737.43 = 17,781.22/x
  3. Step 3: Cross multiply
    31,793.74x = 47,737.43 × 17,781.22
  4. Step 4: Simplify right side
    31,793.74x = 848,829,732.50
  5. Step 5: Solve for x
    x = 848,829,732.50/31,793.74
  6. Step 6: Final answer
    x = 26,698.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.