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Finding the Fourth Proportional to 81,461.38, 112,414.86 and 47,467.75

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Solution

The fourth proportional to 81,461.38, 112,414.86 and 47,467.75 is: 65,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,461.38 : 112,414.86 = 47,467.75 : x
  2. Step 2: Convert to fraction form
    81,461.38/112,414.86 = 47,467.75/x
  3. Step 3: Cross multiply
    81,461.38x = 112,414.86 × 47,467.75
  4. Step 4: Simplify right side
    81,461.38x = 5,336,080,470.77
  5. Step 5: Solve for x
    x = 5,336,080,470.77/81,461.38
  6. Step 6: Final answer
    x = 65,504.42

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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.