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Finding the Fourth Proportional to 71,207.88, 106,812.05 and 26,822.71

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Solution

The fourth proportional to 71,207.88, 106,812.05 and 26,822.71 is: 40,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.88 : 106,812.05 = 26,822.71 : x
  2. Step 2: Convert to fraction form
    71,207.88/106,812.05 = 26,822.71/x
  3. Step 3: Cross multiply
    71,207.88x = 106,812.05 × 26,822.71
  4. Step 4: Simplify right side
    71,207.88x = 2,864,988,641.66
  5. Step 5: Solve for x
    x = 2,864,988,641.66/71,207.88
  6. Step 6: Final answer
    x = 40,234.15

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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.