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Finding the Fourth Proportional to 57,565.85, 86,223.78 and 27,921.38

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Solution

The fourth proportional to 57,565.85, 86,223.78 and 27,921.38 is: 41,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.85 : 86,223.78 = 27,921.38 : x
  2. Step 2: Convert to fraction form
    57,565.85/86,223.78 = 27,921.38/x
  3. Step 3: Cross multiply
    57,565.85x = 86,223.78 × 27,921.38
  4. Step 4: Simplify right side
    57,565.85x = 2,407,486,495.30
  5. Step 5: Solve for x
    x = 2,407,486,495.30/57,565.85
  6. Step 6: Final answer
    x = 41,821.44

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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.