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Finding the Fourth Proportional to 123,251.52, 184,793.76 and 48,324.72

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Solution

The fourth proportional to 123,251.52, 184,793.76 and 48,324.72 is: 72,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,251.52 : 184,793.76 = 48,324.72 : x
  2. Step 2: Convert to fraction form
    123,251.52/184,793.76 = 48,324.72/x
  3. Step 3: Cross multiply
    123,251.52x = 184,793.76 × 48,324.72
  4. Step 4: Simplify right side
    123,251.52x = 8,930,106,709.75
  5. Step 5: Solve for x
    x = 8,930,106,709.75/123,251.52
  6. Step 6: Final answer
    x = 72,454.33

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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.