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Finding the Fourth Proportional to 71,204.40, 106,777.80 and 24,433.20

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Solution

The fourth proportional to 71,204.40, 106,777.80 and 24,433.20 is: 36,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.40 : 106,777.80 = 24,433.20 : x
  2. Step 2: Convert to fraction form
    71,204.40/106,777.80 = 24,433.20/x
  3. Step 3: Cross multiply
    71,204.40x = 106,777.80 × 24,433.20
  4. Step 4: Simplify right side
    71,204.40x = 2,608,923,342.96
  5. Step 5: Solve for x
    x = 2,608,923,342.96/71,204.40
  6. Step 6: Final answer
    x = 36,639.92

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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.