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Finding the Fourth Proportional to 106,391.52, 159,592.76 and 27,506.43

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Solution

The fourth proportional to 106,391.52, 159,592.76 and 27,506.43 is: 41,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391.52 : 159,592.76 = 27,506.43 : x
  2. Step 2: Convert to fraction form
    106,391.52/159,592.76 = 27,506.43/x
  3. Step 3: Cross multiply
    106,391.52x = 159,592.76 × 27,506.43
  4. Step 4: Simplify right side
    106,391.52x = 4,389,826,943.91
  5. Step 5: Solve for x
    x = 4,389,826,943.91/106,391.52
  6. Step 6: Final answer
    x = 41,261.06

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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.