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Finding the Fourth Proportional to 47,843.82, 71,719.16 and 22,877.36

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Solution

The fourth proportional to 47,843.82, 71,719.16 and 22,877.36 is: 34,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.82 : 71,719.16 = 22,877.36 : x
  2. Step 2: Convert to fraction form
    47,843.82/71,719.16 = 22,877.36/x
  3. Step 3: Cross multiply
    47,843.82x = 71,719.16 × 22,877.36
  4. Step 4: Simplify right side
    47,843.82x = 1,640,745,042.22
  5. Step 5: Solve for x
    x = 1,640,745,042.22/47,843.82
  6. Step 6: Final answer
    x = 34,293.77

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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.