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Finding the Fourth Proportional to 48,188.25, 66,506.78 and 27,766.34

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Solution

The fourth proportional to 48,188.25, 66,506.78 and 27,766.34 is: 38,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,188.25 : 66,506.78 = 27,766.34 : x
  2. Step 2: Convert to fraction form
    48,188.25/66,506.78 = 27,766.34/x
  3. Step 3: Cross multiply
    48,188.25x = 66,506.78 × 27,766.34
  4. Step 4: Simplify right side
    48,188.25x = 1,846,649,865.79
  5. Step 5: Solve for x
    x = 1,846,649,865.79/48,188.25
  6. Step 6: Final answer
    x = 38,321.58

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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.