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Finding the Fourth Proportional to 123,546.52, 185,335.50 and 33,591.10

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Solution

The fourth proportional to 123,546.52, 185,335.50 and 33,591.10 is: 50,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,546.52 : 185,335.50 = 33,591.10 : x
  2. Step 2: Convert to fraction form
    123,546.52/185,335.50 = 33,591.10/x
  3. Step 3: Cross multiply
    123,546.52x = 185,335.50 × 33,591.10
  4. Step 4: Simplify right side
    123,546.52x = 6,225,623,314.05
  5. Step 5: Solve for x
    x = 6,225,623,314.05/123,546.52
  6. Step 6: Final answer
    x = 50,390.92

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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.