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Finding the Fourth Proportional to 73,065.38, 100,830.22 and 39,531.38

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Solution

The fourth proportional to 73,065.38, 100,830.22 and 39,531.38 is: 54,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065.38 : 100,830.22 = 39,531.38 : x
  2. Step 2: Convert to fraction form
    73,065.38/100,830.22 = 39,531.38/x
  3. Step 3: Cross multiply
    73,065.38x = 100,830.22 × 39,531.38
  4. Step 4: Simplify right side
    73,065.38x = 3,985,957,139.32
  5. Step 5: Solve for x
    x = 3,985,957,139.32/73,065.38
  6. Step 6: Final answer
    x = 54,553.30

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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.