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Finding the Fourth Proportional to 65,135.80, 97,736.10 and 25,694.20

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Solution

The fourth proportional to 65,135.80, 97,736.10 and 25,694.20 is: 38,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.80 : 97,736.10 = 25,694.20 : x
  2. Step 2: Convert to fraction form
    65,135.80/97,736.10 = 25,694.20/x
  3. Step 3: Cross multiply
    65,135.80x = 97,736.10 × 25,694.20
  4. Step 4: Simplify right side
    65,135.80x = 2,511,250,900.62
  5. Step 5: Solve for x
    x = 2,511,250,900.62/65,135.80
  6. Step 6: Final answer
    x = 38,554.08

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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.