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Finding the Fourth Proportional to 80,412.46, 110,976 and 44,614

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Solution

The fourth proportional to 80,412.46, 110,976 and 44,614 is: 61,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.46 : 110,976 = 44,614 : x
  2. Step 2: Convert to fraction form
    80,412.46/110,976 = 44,614/x
  3. Step 3: Cross multiply
    80,412.46x = 110,976 × 44,614
  4. Step 4: Simplify right side
    80,412.46x = 4,951,083,264
  5. Step 5: Solve for x
    x = 4,951,083,264/80,412.46
  6. Step 6: Final answer
    x = 61,571.10

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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.