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Finding the Fourth Proportional to 65,138.31, 97,630.92 and 27,675

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Solution

The fourth proportional to 65,138.31, 97,630.92 and 27,675 is: 41,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.31 : 97,630.92 = 27,675 : x
  2. Step 2: Convert to fraction form
    65,138.31/97,630.92 = 27,675/x
  3. Step 3: Cross multiply
    65,138.31x = 97,630.92 × 27,675
  4. Step 4: Simplify right side
    65,138.31x = 2,701,935,711
  5. Step 5: Solve for x
    x = 2,701,935,711/65,138.31
  6. Step 6: Final answer
    x = 41,479.98

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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.