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Finding the Fourth Proportional to 80,411.48, 110,974.64 and 44,613

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Solution

The fourth proportional to 80,411.48, 110,974.64 and 44,613 is: 61,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411.48 : 110,974.64 = 44,613 : x
  2. Step 2: Convert to fraction form
    80,411.48/110,974.64 = 44,613/x
  3. Step 3: Cross multiply
    80,411.48x = 110,974.64 × 44,613
  4. Step 4: Simplify right side
    80,411.48x = 4,950,911,614.32
  5. Step 5: Solve for x
    x = 4,950,911,614.32/80,411.48
  6. Step 6: Final answer
    x = 61,569.71

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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.