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Finding the Fourth Proportional to 123,805.31, 185,718.29 and 39,577.46

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Solution

The fourth proportional to 123,805.31, 185,718.29 and 39,577.46 is: 59,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,805.31 : 185,718.29 = 39,577.46 : x
  2. Step 2: Convert to fraction form
    123,805.31/185,718.29 = 39,577.46/x
  3. Step 3: Cross multiply
    123,805.31x = 185,718.29 × 39,577.46
  4. Step 4: Simplify right side
    123,805.31x = 7,350,257,067.26
  5. Step 5: Solve for x
    x = 7,350,257,067.26/123,805.31
  6. Step 6: Final answer
    x = 59,369.48

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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.