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Finding the Fourth Proportional to 49,344, 68,096.34 and 26,988

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Solution

The fourth proportional to 49,344, 68,096.34 and 26,988 is: 37,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 68,096.34 = 26,988 : x
  2. Step 2: Convert to fraction form
    49,344/68,096.34 = 26,988/x
  3. Step 3: Cross multiply
    49,344x = 68,096.34 × 26,988
  4. Step 4: Simplify right side
    49,344x = 1,837,784,023.92
  5. Step 5: Solve for x
    x = 1,837,784,023.92/49,344
  6. Step 6: Final answer
    x = 37,244.33

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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.