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Finding the Fourth Proportional to 106,043.70, 159,053.58 and 27,158.52

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Solution

The fourth proportional to 106,043.70, 159,053.58 and 27,158.52 is: 40,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.70 : 159,053.58 = 27,158.52 : x
  2. Step 2: Convert to fraction form
    106,043.70/159,053.58 = 27,158.52/x
  3. Step 3: Cross multiply
    106,043.70x = 159,053.58 × 27,158.52
  4. Step 4: Simplify right side
    106,043.70x = 4,319,659,833.50
  5. Step 5: Solve for x
    x = 4,319,659,833.50/106,043.70
  6. Step 6: Final answer
    x = 40,734.71

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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.