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Finding the Fourth Proportional to 47,841.05, 71,743.07 and 22,874.42

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Solution

The fourth proportional to 47,841.05, 71,743.07 and 22,874.42 is: 34,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.05 : 71,743.07 = 22,874.42 : x
  2. Step 2: Convert to fraction form
    47,841.05/71,743.07 = 22,874.42/x
  3. Step 3: Cross multiply
    47,841.05x = 71,743.07 × 22,874.42
  4. Step 4: Simplify right side
    47,841.05x = 1,641,080,642.18
  5. Step 5: Solve for x
    x = 1,641,080,642.18/47,841.05
  6. Step 6: Final answer
    x = 34,302.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.