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Finding the Fourth Proportional to 55,044.96, 75,937.68 and 32,676

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Solution

The fourth proportional to 55,044.96, 75,937.68 and 32,676 is: 45,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,044.96 : 75,937.68 = 32,676 : x
  2. Step 2: Convert to fraction form
    55,044.96/75,937.68 = 32,676/x
  3. Step 3: Cross multiply
    55,044.96x = 75,937.68 × 32,676
  4. Step 4: Simplify right side
    55,044.96x = 2,481,339,631.68
  5. Step 5: Solve for x
    x = 2,481,339,631.68/55,044.96
  6. Step 6: Final answer
    x = 45,078.42

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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.