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Finding the Fourth Proportional to 63,831.96, 95,757.72 and 22,269.24

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Solution

The fourth proportional to 63,831.96, 95,757.72 and 22,269.24 is: 33,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,831.96 : 95,757.72 = 22,269.24 : x
  2. Step 2: Convert to fraction form
    63,831.96/95,757.72 = 22,269.24/x
  3. Step 3: Cross multiply
    63,831.96x = 95,757.72 × 22,269.24
  4. Step 4: Simplify right side
    63,831.96x = 2,132,451,648.53
  5. Step 5: Solve for x
    x = 2,132,451,648.53/63,831.96
  6. Step 6: Final answer
    x = 33,407.27

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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.