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Finding the Fourth Proportional to 71,346.80, 107,020.14 and 24,596

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Solution

The fourth proportional to 71,346.80, 107,020.14 and 24,596 is: 36,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,346.80 : 107,020.14 = 24,596 : x
  2. Step 2: Convert to fraction form
    71,346.80/107,020.14 = 24,596/x
  3. Step 3: Cross multiply
    71,346.80x = 107,020.14 × 24,596
  4. Step 4: Simplify right side
    71,346.80x = 2,632,267,363.44
  5. Step 5: Solve for x
    x = 2,632,267,363.44/71,346.80
  6. Step 6: Final answer
    x = 36,893.98

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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.