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Finding the Fourth Proportional to 107,169.92, 160,773.44 and 36,085.76

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Solution

The fourth proportional to 107,169.92, 160,773.44 and 36,085.76 is: 54,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,169.92 : 160,773.44 = 36,085.76 : x
  2. Step 2: Convert to fraction form
    107,169.92/160,773.44 = 36,085.76/x
  3. Step 3: Cross multiply
    107,169.92x = 160,773.44 × 36,085.76
  4. Step 4: Simplify right side
    107,169.92x = 5,801,631,770.21
  5. Step 5: Solve for x
    x = 5,801,631,770.21/107,169.92
  6. Step 6: Final answer
    x = 54,134.89

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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.