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Finding the Fourth Proportional to 80,933.44, 111,648.45 and 54,082.55

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Solution

The fourth proportional to 80,933.44, 111,648.45 and 54,082.55 is: 74,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,933.44 : 111,648.45 = 54,082.55 : x
  2. Step 2: Convert to fraction form
    80,933.44/111,648.45 = 54,082.55/x
  3. Step 3: Cross multiply
    80,933.44x = 111,648.45 × 54,082.55
  4. Step 4: Simplify right side
    80,933.44x = 6,038,232,879.55
  5. Step 5: Solve for x
    x = 6,038,232,879.55/80,933.44
  6. Step 6: Final answer
    x = 74,607.39

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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.