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Finding the Fourth Proportional to 123,839.44, 185,734.98 and 39,577

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Solution

The fourth proportional to 123,839.44, 185,734.98 and 39,577 is: 59,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,839.44 : 185,734.98 = 39,577 : x
  2. Step 2: Convert to fraction form
    123,839.44/185,734.98 = 39,577/x
  3. Step 3: Cross multiply
    123,839.44x = 185,734.98 × 39,577
  4. Step 4: Simplify right side
    123,839.44x = 7,350,833,303.46
  5. Step 5: Solve for x
    x = 7,350,833,303.46/123,839.44
  6. Step 6: Final answer
    x = 59,357.77

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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.