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Finding the Fourth Proportional to 47,868.36, 66,054.04 and 27,724.87

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Solution

The fourth proportional to 47,868.36, 66,054.04 and 27,724.87 is: 38,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.36 : 66,054.04 = 27,724.87 : x
  2. Step 2: Convert to fraction form
    47,868.36/66,054.04 = 27,724.87/x
  3. Step 3: Cross multiply
    47,868.36x = 66,054.04 × 27,724.87
  4. Step 4: Simplify right side
    47,868.36x = 1,831,339,671.97
  5. Step 5: Solve for x
    x = 1,831,339,671.97/47,868.36
  6. Step 6: Final answer
    x = 38,257.83

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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.