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Finding the Fourth Proportional to 123,896.52, 185,778.90 and 49,013.64

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Solution

The fourth proportional to 123,896.52, 185,778.90 and 49,013.64 is: 73,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,896.52 : 185,778.90 = 49,013.64 : x
  2. Step 2: Convert to fraction form
    123,896.52/185,778.90 = 49,013.64/x
  3. Step 3: Cross multiply
    123,896.52x = 185,778.90 × 49,013.64
  4. Step 4: Simplify right side
    123,896.52x = 9,105,700,124.20
  5. Step 5: Solve for x
    x = 9,105,700,124.20/123,896.52
  6. Step 6: Final answer
    x = 73,494.40

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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.