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Finding the Fourth Proportional to 80,451, 111,022.38 and 44,646.78

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Solution

The fourth proportional to 80,451, 111,022.38 and 44,646.78 is: 61,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451 : 111,022.38 = 44,646.78 : x
  2. Step 2: Convert to fraction form
    80,451/111,022.38 = 44,646.78/x
  3. Step 3: Cross multiply
    80,451x = 111,022.38 × 44,646.78
  4. Step 4: Simplify right side
    80,451x = 4,956,791,774.94
  5. Step 5: Solve for x
    x = 4,956,791,774.94/80,451
  6. Step 6: Final answer
    x = 61,612.56

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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.