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Finding the Fourth Proportional to 80,697.76, 121,053.10 and 24,542.90

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Solution

The fourth proportional to 80,697.76, 121,053.10 and 24,542.90 is: 36,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,697.76 : 121,053.10 = 24,542.90 : x
  2. Step 2: Convert to fraction form
    80,697.76/121,053.10 = 24,542.90/x
  3. Step 3: Cross multiply
    80,697.76x = 121,053.10 × 24,542.90
  4. Step 4: Simplify right side
    80,697.76x = 2,970,994,127.99
  5. Step 5: Solve for x
    x = 2,970,994,127.99/80,697.76
  6. Step 6: Final answer
    x = 36,816.31

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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.