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Finding the Fourth Proportional to 83,180.99, 124,753.14 and 24,003.80

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Solution

The fourth proportional to 83,180.99, 124,753.14 and 24,003.80 is: 36,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180.99 : 124,753.14 = 24,003.80 : x
  2. Step 2: Convert to fraction form
    83,180.99/124,753.14 = 24,003.80/x
  3. Step 3: Cross multiply
    83,180.99x = 124,753.14 × 24,003.80
  4. Step 4: Simplify right side
    83,180.99x = 2,994,549,421.93
  5. Step 5: Solve for x
    x = 2,994,549,421.93/83,180.99
  6. Step 6: Final answer
    x = 36,000.41

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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.