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Finding the Fourth Proportional to 38,222.60, 52,791.96 and 34,859.48

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Solution

The fourth proportional to 38,222.60, 52,791.96 and 34,859.48 is: 48,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222.60 : 52,791.96 = 34,859.48 : x
  2. Step 2: Convert to fraction form
    38,222.60/52,791.96 = 34,859.48/x
  3. Step 3: Cross multiply
    38,222.60x = 52,791.96 × 34,859.48
  4. Step 4: Simplify right side
    38,222.60x = 1,840,300,273.78
  5. Step 5: Solve for x
    x = 1,840,300,273.78/38,222.60
  6. Step 6: Final answer
    x = 48,146.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.