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Finding the Fourth Proportional to 80,687.20, 120,973.20 and 45,637.60

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Solution

The fourth proportional to 80,687.20, 120,973.20 and 45,637.60 is: 68,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,687.20 : 120,973.20 = 45,637.60 : x
  2. Step 2: Convert to fraction form
    80,687.20/120,973.20 = 45,637.60/x
  3. Step 3: Cross multiply
    80,687.20x = 120,973.20 × 45,637.60
  4. Step 4: Simplify right side
    80,687.20x = 5,520,926,512.32
  5. Step 5: Solve for x
    x = 5,520,926,512.32/80,687.20
  6. Step 6: Final answer
    x = 68,423.82

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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.