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Finding the Fourth Proportional to 52,042.32, 71,819.04 and 31,618.56

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Solution

The fourth proportional to 52,042.32, 71,819.04 and 31,618.56 is: 43,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.32 : 71,819.04 = 31,618.56 : x
  2. Step 2: Convert to fraction form
    52,042.32/71,819.04 = 31,618.56/x
  3. Step 3: Cross multiply
    52,042.32x = 71,819.04 × 31,618.56
  4. Step 4: Simplify right side
    52,042.32x = 2,270,814,625.38
  5. Step 5: Solve for x
    x = 2,270,814,625.38/52,042.32
  6. Step 6: Final answer
    x = 43,634.00

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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.