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Finding the Fourth Proportional to 92,487.76, 138,780.24 and 50,398

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Solution

The fourth proportional to 92,487.76, 138,780.24 and 50,398 is: 75,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,487.76 : 138,780.24 = 50,398 : x
  2. Step 2: Convert to fraction form
    92,487.76/138,780.24 = 50,398/x
  3. Step 3: Cross multiply
    92,487.76x = 138,780.24 × 50,398
  4. Step 4: Simplify right side
    92,487.76x = 6,994,246,535.52
  5. Step 5: Solve for x
    x = 6,994,246,535.52/92,487.76
  6. Step 6: Final answer
    x = 75,623.48

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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.