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Finding the Fourth Proportional to 71,567.82, 98,760.60 and 39,734.82

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Solution

The fourth proportional to 71,567.82, 98,760.60 and 39,734.82 is: 54,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,567.82 : 98,760.60 = 39,734.82 : x
  2. Step 2: Convert to fraction form
    71,567.82/98,760.60 = 39,734.82/x
  3. Step 3: Cross multiply
    71,567.82x = 98,760.60 × 39,734.82
  4. Step 4: Simplify right side
    71,567.82x = 3,924,234,664.09
  5. Step 5: Solve for x
    x = 3,924,234,664.09/71,567.82
  6. Step 6: Final answer
    x = 54,832.39

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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.