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Finding the Fourth Proportional to 123,805.44, 185,638.44 and 39,545.80

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Solution

The fourth proportional to 123,805.44, 185,638.44 and 39,545.80 is: 59,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,805.44 : 185,638.44 = 39,545.80 : x
  2. Step 2: Convert to fraction form
    123,805.44/185,638.44 = 39,545.80/x
  3. Step 3: Cross multiply
    123,805.44x = 185,638.44 × 39,545.80
  4. Step 4: Simplify right side
    123,805.44x = 7,341,220,620.55
  5. Step 5: Solve for x
    x = 7,341,220,620.55/123,805.44
  6. Step 6: Final answer
    x = 59,296.43

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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.