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Finding the Fourth Proportional to 49,358.48, 68,115.24 and 27,002

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Solution

The fourth proportional to 49,358.48, 68,115.24 and 27,002 is: 37,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,358.48 : 68,115.24 = 27,002 : x
  2. Step 2: Convert to fraction form
    49,358.48/68,115.24 = 27,002/x
  3. Step 3: Cross multiply
    49,358.48x = 68,115.24 × 27,002
  4. Step 4: Simplify right side
    49,358.48x = 1,839,247,710.48
  5. Step 5: Solve for x
    x = 1,839,247,710.48/49,358.48
  6. Step 6: Final answer
    x = 37,263.05

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