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Finding the Fourth Proportional to 106,291.10, 159,426.12 and 36,169.40

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Solution

The fourth proportional to 106,291.10, 159,426.12 and 36,169.40 is: 54,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291.10 : 159,426.12 = 36,169.40 : x
  2. Step 2: Convert to fraction form
    106,291.10/159,426.12 = 36,169.40/x
  3. Step 3: Cross multiply
    106,291.10x = 159,426.12 × 36,169.40
  4. Step 4: Simplify right side
    106,291.10x = 5,766,347,104.73
  5. Step 5: Solve for x
    x = 5,766,347,104.73/106,291.10
  6. Step 6: Final answer
    x = 54,250.52

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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.