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Finding the Fourth Proportional to 47,869.96, 66,054.82 and 27,724.04

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Solution

The fourth proportional to 47,869.96, 66,054.82 and 27,724.04 is: 38,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869.96 : 66,054.82 = 27,724.04 : x
  2. Step 2: Convert to fraction form
    47,869.96/66,054.82 = 27,724.04/x
  3. Step 3: Cross multiply
    47,869.96x = 66,054.82 × 27,724.04
  4. Step 4: Simplify right side
    47,869.96x = 1,831,306,471.87
  5. Step 5: Solve for x
    x = 1,831,306,471.87/47,869.96
  6. Step 6: Final answer
    x = 38,255.86

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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.