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Finding the Fourth Proportional to 49,332, 68,079.78 and 26,976

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Solution

The fourth proportional to 49,332, 68,079.78 and 26,976 is: 37,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,332 : 68,079.78 = 26,976 : x
  2. Step 2: Convert to fraction form
    49,332/68,079.78 = 26,976/x
  3. Step 3: Cross multiply
    49,332x = 68,079.78 × 26,976
  4. Step 4: Simplify right side
    49,332x = 1,836,520,145.28
  5. Step 5: Solve for x
    x = 1,836,520,145.28/49,332
  6. Step 6: Final answer
    x = 37,227.77

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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.