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Finding the Fourth Proportional to 73,160.40, 109,744.65 and 20,565.75

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Solution

The fourth proportional to 73,160.40, 109,744.65 and 20,565.75 is: 30,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,160.40 : 109,744.65 = 20,565.75 : x
  2. Step 2: Convert to fraction form
    73,160.40/109,744.65 = 20,565.75/x
  3. Step 3: Cross multiply
    73,160.40x = 109,744.65 × 20,565.75
  4. Step 4: Simplify right side
    73,160.40x = 2,256,981,035.74
  5. Step 5: Solve for x
    x = 2,256,981,035.74/73,160.40
  6. Step 6: Final answer
    x = 30,849.76

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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.