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Finding the Fourth Proportional to 80,108.01, 120,160.71 and 32,712.69

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Solution

The fourth proportional to 80,108.01, 120,160.71 and 32,712.69 is: 49,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,108.01 : 120,160.71 = 32,712.69 : x
  2. Step 2: Convert to fraction form
    80,108.01/120,160.71 = 32,712.69/x
  3. Step 3: Cross multiply
    80,108.01x = 120,160.71 × 32,712.69
  4. Step 4: Simplify right side
    80,108.01x = 3,930,780,056.41
  5. Step 5: Solve for x
    x = 3,930,780,056.41/80,108.01
  6. Step 6: Final answer
    x = 49,068.50

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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.