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Finding the Fourth Proportional to 48,717, 67,229.64 and 26,361

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Solution

The fourth proportional to 48,717, 67,229.64 and 26,361 is: 36,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 67,229.64 = 26,361 : x
  2. Step 2: Convert to fraction form
    48,717/67,229.64 = 26,361/x
  3. Step 3: Cross multiply
    48,717x = 67,229.64 × 26,361
  4. Step 4: Simplify right side
    48,717x = 1,772,240,540.04
  5. Step 5: Solve for x
    x = 1,772,240,540.04/48,717
  6. Step 6: Final answer
    x = 36,378.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.