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Finding the Fourth Proportional to 65,437.97, 98,205.84 and 25,463.25

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Solution

The fourth proportional to 65,437.97, 98,205.84 and 25,463.25 is: 38,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.97 : 98,205.84 = 25,463.25 : x
  2. Step 2: Convert to fraction form
    65,437.97/98,205.84 = 25,463.25/x
  3. Step 3: Cross multiply
    65,437.97x = 98,205.84 × 25,463.25
  4. Step 4: Simplify right side
    65,437.97x = 2,500,639,855.38
  5. Step 5: Solve for x
    x = 2,500,639,855.38/65,437.97
  6. Step 6: Final answer
    x = 38,213.90

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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.