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Finding the Fourth Proportional to 123,488.62, 185,233.80 and 34,751.09

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Solution

The fourth proportional to 123,488.62, 185,233.80 and 34,751.09 is: 52,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,488.62 : 185,233.80 = 34,751.09 : x
  2. Step 2: Convert to fraction form
    123,488.62/185,233.80 = 34,751.09/x
  3. Step 3: Cross multiply
    123,488.62x = 185,233.80 × 34,751.09
  4. Step 4: Simplify right side
    123,488.62x = 6,437,076,454.84
  5. Step 5: Solve for x
    x = 6,437,076,454.84/123,488.62
  6. Step 6: Final answer
    x = 52,126.88

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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.