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Finding the Fourth Proportional to 52,227.40, 78,354.06 and 24,493

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Solution

The fourth proportional to 52,227.40, 78,354.06 and 24,493 is: 36,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.40 : 78,354.06 = 24,493 : x
  2. Step 2: Convert to fraction form
    52,227.40/78,354.06 = 24,493/x
  3. Step 3: Cross multiply
    52,227.40x = 78,354.06 × 24,493
  4. Step 4: Simplify right side
    52,227.40x = 1,919,125,991.58
  5. Step 5: Solve for x
    x = 1,919,125,991.58/52,227.40
  6. Step 6: Final answer
    x = 36,745.58

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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.