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Finding the Fourth Proportional to 80,497.80, 120,746.10 and 24,337.80

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Solution

The fourth proportional to 80,497.80, 120,746.10 and 24,337.80 is: 36,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497.80 : 120,746.10 = 24,337.80 : x
  2. Step 2: Convert to fraction form
    80,497.80/120,746.10 = 24,337.80/x
  3. Step 3: Cross multiply
    80,497.80x = 120,746.10 × 24,337.80
  4. Step 4: Simplify right side
    80,497.80x = 2,938,694,432.58
  5. Step 5: Solve for x
    x = 2,938,694,432.58/80,497.80
  6. Step 6: Final answer
    x = 36,506.52

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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.