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Finding the Fourth Proportional to 100,471.52, 150,733.54 and 58,311.08

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Solution

The fourth proportional to 100,471.52, 150,733.54 and 58,311.08 is: 87,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.52 : 150,733.54 = 58,311.08 : x
  2. Step 2: Convert to fraction form
    100,471.52/150,733.54 = 58,311.08/x
  3. Step 3: Cross multiply
    100,471.52x = 150,733.54 × 58,311.08
  4. Step 4: Simplify right side
    100,471.52x = 8,789,435,509.62
  5. Step 5: Solve for x
    x = 8,789,435,509.62/100,471.52
  6. Step 6: Final answer
    x = 87,481.86

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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.