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Finding the Fourth Proportional to 83,179.64, 114,787.74 and 47,369.66

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Solution

The fourth proportional to 83,179.64, 114,787.74 and 47,369.66 is: 65,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,179.64 : 114,787.74 = 47,369.66 : x
  2. Step 2: Convert to fraction form
    83,179.64/114,787.74 = 47,369.66/x
  3. Step 3: Cross multiply
    83,179.64x = 114,787.74 × 47,369.66
  4. Step 4: Simplify right side
    83,179.64x = 5,437,456,215.97
  5. Step 5: Solve for x
    x = 5,437,456,215.97/83,179.64
  6. Step 6: Final answer
    x = 65,370.04

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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.