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Finding the Fourth Proportional to 57,204, 85,831.92 and 27,616.32

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Solution

The fourth proportional to 57,204, 85,831.92 and 27,616.32 is: 41,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 85,831.92 = 27,616.32 : x
  2. Step 2: Convert to fraction form
    57,204/85,831.92 = 27,616.32/x
  3. Step 3: Cross multiply
    57,204x = 85,831.92 × 27,616.32
  4. Step 4: Simplify right side
    57,204x = 2,370,361,768.93
  5. Step 5: Solve for x
    x = 2,370,361,768.93/57,204
  6. Step 6: Final answer
    x = 41,436.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.