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Finding the Fourth Proportional to 71,552.78, 107,378.49 and 29,435.66

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Solution

The fourth proportional to 71,552.78, 107,378.49 and 29,435.66 is: 44,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,552.78 : 107,378.49 = 29,435.66 : x
  2. Step 2: Convert to fraction form
    71,552.78/107,378.49 = 29,435.66/x
  3. Step 3: Cross multiply
    71,552.78x = 107,378.49 × 29,435.66
  4. Step 4: Simplify right side
    71,552.78x = 3,160,756,722.95
  5. Step 5: Solve for x
    x = 3,160,756,722.95/71,552.78
  6. Step 6: Final answer
    x = 44,173.78

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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.