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Finding the Fourth Proportional to 83,174.54, 114,784.17 and 47,366.06

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Solution

The fourth proportional to 83,174.54, 114,784.17 and 47,366.06 is: 65,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.54 : 114,784.17 = 47,366.06 : x
  2. Step 2: Convert to fraction form
    83,174.54/114,784.17 = 47,366.06/x
  3. Step 3: Cross multiply
    83,174.54x = 114,784.17 × 47,366.06
  4. Step 4: Simplify right side
    83,174.54x = 5,436,873,883.27
  5. Step 5: Solve for x
    x = 5,436,873,883.27/83,174.54
  6. Step 6: Final answer
    x = 65,367.04

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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.