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Finding the Fourth Proportional to 109,770.57, 151,486.38 and 62,022.96

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Solution

The fourth proportional to 109,770.57, 151,486.38 and 62,022.96 is: 85,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.57 : 151,486.38 = 62,022.96 : x
  2. Step 2: Convert to fraction form
    109,770.57/151,486.38 = 62,022.96/x
  3. Step 3: Cross multiply
    109,770.57x = 151,486.38 × 62,022.96
  4. Step 4: Simplify right side
    109,770.57x = 9,395,633,687.28
  5. Step 5: Solve for x
    x = 9,395,633,687.28/109,770.57
  6. Step 6: Final answer
    x = 85,593.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.