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Finding the Fourth Proportional to 77,248.40, 115,874.76 and 27,321.44

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Solution

The fourth proportional to 77,248.40, 115,874.76 and 27,321.44 is: 40,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,248.40 : 115,874.76 = 27,321.44 : x
  2. Step 2: Convert to fraction form
    77,248.40/115,874.76 = 27,321.44/x
  3. Step 3: Cross multiply
    77,248.40x = 115,874.76 × 27,321.44
  4. Step 4: Simplify right side
    77,248.40x = 3,165,865,302.85
  5. Step 5: Solve for x
    x = 3,165,865,302.85/77,248.40
  6. Step 6: Final answer
    x = 40,982.92

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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.