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Finding the Fourth Proportional to 75,002.70, 112,532.85 and 73,821.90

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Solution

The fourth proportional to 75,002.70, 112,532.85 and 73,821.90 is: 110,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,002.70 : 112,532.85 = 73,821.90 : x
  2. Step 2: Convert to fraction form
    75,002.70/112,532.85 = 73,821.90/x
  3. Step 3: Cross multiply
    75,002.70x = 112,532.85 × 73,821.90
  4. Step 4: Simplify right side
    75,002.70x = 8,307,388,799.42
  5. Step 5: Solve for x
    x = 8,307,388,799.42/75,002.70
  6. Step 6: Final answer
    x = 110,761.20

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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.