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Finding the Fourth Proportional to 71,356.80, 106,962.30 and 41,759.40

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Solution

The fourth proportional to 71,356.80, 106,962.30 and 41,759.40 is: 62,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.80 : 106,962.30 = 41,759.40 : x
  2. Step 2: Convert to fraction form
    71,356.80/106,962.30 = 41,759.40/x
  3. Step 3: Cross multiply
    71,356.80x = 106,962.30 × 41,759.40
  4. Step 4: Simplify right side
    71,356.80x = 4,466,681,470.62
  5. Step 5: Solve for x
    x = 4,466,681,470.62/71,356.80
  6. Step 6: Final answer
    x = 62,596.44

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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.