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Finding the Fourth Proportional to 71,165.88, 106,767.36 and 26,793

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Solution

The fourth proportional to 71,165.88, 106,767.36 and 26,793 is: 40,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.88 : 106,767.36 = 26,793 : x
  2. Step 2: Convert to fraction form
    71,165.88/106,767.36 = 26,793/x
  3. Step 3: Cross multiply
    71,165.88x = 106,767.36 × 26,793
  4. Step 4: Simplify right side
    71,165.88x = 2,860,617,876.48
  5. Step 5: Solve for x
    x = 2,860,617,876.48/71,165.88
  6. Step 6: Final answer
    x = 40,196.48

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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.