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Finding the Fourth Proportional to 80,442.88, 111,010.32 and 44,632

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Solution

The fourth proportional to 80,442.88, 111,010.32 and 44,632 is: 61,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442.88 : 111,010.32 = 44,632 : x
  2. Step 2: Convert to fraction form
    80,442.88/111,010.32 = 44,632/x
  3. Step 3: Cross multiply
    80,442.88x = 111,010.32 × 44,632
  4. Step 4: Simplify right side
    80,442.88x = 4,954,612,602.24
  5. Step 5: Solve for x
    x = 4,954,612,602.24/80,442.88
  6. Step 6: Final answer
    x = 61,591.69

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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.