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Finding the Fourth Proportional to 52,229.38, 72,077.39 and 29,567.78

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Solution

The fourth proportional to 52,229.38, 72,077.39 and 29,567.78 is: 40,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,229.38 : 72,077.39 = 29,567.78 : x
  2. Step 2: Convert to fraction form
    52,229.38/72,077.39 = 29,567.78/x
  3. Step 3: Cross multiply
    52,229.38x = 72,077.39 × 29,567.78
  4. Step 4: Simplify right side
    52,229.38x = 2,131,168,262.66
  5. Step 5: Solve for x
    x = 2,131,168,262.66/52,229.38
  6. Step 6: Final answer
    x = 40,804.02

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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.