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Finding the Fourth Proportional to 71,608.36, 98,822.82 and 39,776.20

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Solution

The fourth proportional to 71,608.36, 98,822.82 and 39,776.20 is: 54,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,608.36 : 98,822.82 = 39,776.20 : x
  2. Step 2: Convert to fraction form
    71,608.36/98,822.82 = 39,776.20/x
  3. Step 3: Cross multiply
    71,608.36x = 98,822.82 × 39,776.20
  4. Step 4: Simplify right side
    71,608.36x = 3,930,796,252.88
  5. Step 5: Solve for x
    x = 3,930,796,252.88/71,608.36
  6. Step 6: Final answer
    x = 54,892.98

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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.