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Finding the Fourth Proportional to 80,352.01, 110,874.12 and 44,542

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Solution

The fourth proportional to 80,352.01, 110,874.12 and 44,542 is: 61,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352.01 : 110,874.12 = 44,542 : x
  2. Step 2: Convert to fraction form
    80,352.01/110,874.12 = 44,542/x
  3. Step 3: Cross multiply
    80,352.01x = 110,874.12 × 44,542
  4. Step 4: Simplify right side
    80,352.01x = 4,938,555,053.04
  5. Step 5: Solve for x
    x = 4,938,555,053.04/80,352.01
  6. Step 6: Final answer
    x = 61,461.50

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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.