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Finding the Fourth Proportional to 38,046.27, 52,512.66 and 22,133.15

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Solution

The fourth proportional to 38,046.27, 52,512.66 and 22,133.15 is: 30,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.27 : 52,512.66 = 22,133.15 : x
  2. Step 2: Convert to fraction form
    38,046.27/52,512.66 = 22,133.15/x
  3. Step 3: Cross multiply
    38,046.27x = 52,512.66 × 22,133.15
  4. Step 4: Simplify right side
    38,046.27x = 1,162,270,580.68
  5. Step 5: Solve for x
    x = 1,162,270,580.68/38,046.27
  6. Step 6: Final answer
    x = 30,548.87

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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.