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Finding the Fourth Proportional to 80,324.10, 110,847.90 and 44,514.71

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Solution

The fourth proportional to 80,324.10, 110,847.90 and 44,514.71 is: 61,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,324.10 : 110,847.90 = 44,514.71 : x
  2. Step 2: Convert to fraction form
    80,324.10/110,847.90 = 44,514.71/x
  3. Step 3: Cross multiply
    80,324.10x = 110,847.90 × 44,514.71
  4. Step 4: Simplify right side
    80,324.10x = 4,934,362,122.61
  5. Step 5: Solve for x
    x = 4,934,362,122.61/80,324.10
  6. Step 6: Final answer
    x = 61,430.66

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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.