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Finding the Fourth Proportional to 65,162.96, 97,772.46 and 25,209.96

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Solution

The fourth proportional to 65,162.96, 97,772.46 and 25,209.96 is: 37,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,162.96 : 97,772.46 = 25,209.96 : x
  2. Step 2: Convert to fraction form
    65,162.96/97,772.46 = 25,209.96/x
  3. Step 3: Cross multiply
    65,162.96x = 97,772.46 × 25,209.96
  4. Step 4: Simplify right side
    65,162.96x = 2,464,839,805.70
  5. Step 5: Solve for x
    x = 2,464,839,805.70/65,162.96
  6. Step 6: Final answer
    x = 37,825.78

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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.