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Finding the Fourth Proportional to 90,514, 135,771.24 and 28,184.56

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Solution

The fourth proportional to 90,514, 135,771.24 and 28,184.56 is: 42,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,514 : 135,771.24 = 28,184.56 : x
  2. Step 2: Convert to fraction form
    90,514/135,771.24 = 28,184.56/x
  3. Step 3: Cross multiply
    90,514x = 135,771.24 × 28,184.56
  4. Step 4: Simplify right side
    90,514x = 3,826,652,660.05
  5. Step 5: Solve for x
    x = 3,826,652,660.05/90,514
  6. Step 6: Final answer
    x = 42,276.91

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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.