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Finding the Fourth Proportional to 65,367.32, 98,092.45 and 27,927.68

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Solution

The fourth proportional to 65,367.32, 98,092.45 and 27,927.68 is: 41,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.32 : 98,092.45 = 27,927.68 : x
  2. Step 2: Convert to fraction form
    65,367.32/98,092.45 = 27,927.68/x
  3. Step 3: Cross multiply
    65,367.32x = 98,092.45 × 27,927.68
  4. Step 4: Simplify right side
    65,367.32x = 2,739,494,063.55
  5. Step 5: Solve for x
    x = 2,739,494,063.55/65,367.32
  6. Step 6: Final answer
    x = 41,909.23

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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.