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Finding the Fourth Proportional to 107,285.52, 160,865.44 and 32,383.20

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Solution

The fourth proportional to 107,285.52, 160,865.44 and 32,383.20 is: 48,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285.52 : 160,865.44 = 32,383.20 : x
  2. Step 2: Convert to fraction form
    107,285.52/160,865.44 = 32,383.20/x
  3. Step 3: Cross multiply
    107,285.52x = 160,865.44 × 32,383.20
  4. Step 4: Simplify right side
    107,285.52x = 5,209,337,716.61
  5. Step 5: Solve for x
    x = 5,209,337,716.61/107,285.52
  6. Step 6: Final answer
    x = 48,555.83

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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.