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Finding the Fourth Proportional to 123,704.88, 185,564.81 and 34,965.03

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Solution

The fourth proportional to 123,704.88, 185,564.81 and 34,965.03 is: 52,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,704.88 : 185,564.81 = 34,965.03 : x
  2. Step 2: Convert to fraction form
    123,704.88/185,564.81 = 34,965.03/x
  3. Step 3: Cross multiply
    123,704.88x = 185,564.81 × 34,965.03
  4. Step 4: Simplify right side
    123,704.88x = 6,488,279,236.01
  5. Step 5: Solve for x
    x = 6,488,279,236.01/123,704.88
  6. Step 6: Final answer
    x = 52,449.66

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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.