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Finding the Fourth Proportional to 83,441.48, 124,964.58 and 65,793.20

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Solution

The fourth proportional to 83,441.48, 124,964.58 and 65,793.20 is: 98,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441.48 : 124,964.58 = 65,793.20 : x
  2. Step 2: Convert to fraction form
    83,441.48/124,964.58 = 65,793.20/x
  3. Step 3: Cross multiply
    83,441.48x = 124,964.58 × 65,793.20
  4. Step 4: Simplify right side
    83,441.48x = 8,221,819,604.86
  5. Step 5: Solve for x
    x = 8,221,819,604.86/83,441.48
  6. Step 6: Final answer
    x = 98,533.96

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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.