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Finding the Fourth Proportional to 55,719.91, 83,380.20 and 48,249.24

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Solution

The fourth proportional to 55,719.91, 83,380.20 and 48,249.24 is: 72,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,719.91 : 83,380.20 = 48,249.24 : x
  2. Step 2: Convert to fraction form
    55,719.91/83,380.20 = 48,249.24/x
  3. Step 3: Cross multiply
    55,719.91x = 83,380.20 × 48,249.24
  4. Step 4: Simplify right side
    55,719.91x = 4,023,031,281.05
  5. Step 5: Solve for x
    x = 4,023,031,281.05/55,719.91
  6. Step 6: Final answer
    x = 72,200.97

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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.