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Finding the Fourth Proportional to 80,894.34, 111,631.10 and 45,082.62

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Solution

The fourth proportional to 80,894.34, 111,631.10 and 45,082.62 is: 62,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894.34 : 111,631.10 = 45,082.62 : x
  2. Step 2: Convert to fraction form
    80,894.34/111,631.10 = 45,082.62/x
  3. Step 3: Cross multiply
    80,894.34x = 111,631.10 × 45,082.62
  4. Step 4: Simplify right side
    80,894.34x = 5,032,622,236.07
  5. Step 5: Solve for x
    x = 5,032,622,236.07/80,894.34
  6. Step 6: Final answer
    x = 62,212.29

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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.