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Finding the Fourth Proportional to 57,787.20, 86,680.80 and 51,220.80

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Solution

The fourth proportional to 57,787.20, 86,680.80 and 51,220.80 is: 76,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.20 : 86,680.80 = 51,220.80 : x
  2. Step 2: Convert to fraction form
    57,787.20/86,680.80 = 51,220.80/x
  3. Step 3: Cross multiply
    57,787.20x = 86,680.80 × 51,220.80
  4. Step 4: Simplify right side
    57,787.20x = 4,439,859,920.64
  5. Step 5: Solve for x
    x = 4,439,859,920.64/57,787.20
  6. Step 6: Final answer
    x = 76,831.20

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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.