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Finding the Fourth Proportional to 67,842.12, 101,690.67 and 36,232.68

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Solution

The fourth proportional to 67,842.12, 101,690.67 and 36,232.68 is: 54,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.12 : 101,690.67 = 36,232.68 : x
  2. Step 2: Convert to fraction form
    67,842.12/101,690.67 = 36,232.68/x
  3. Step 3: Cross multiply
    67,842.12x = 101,690.67 × 36,232.68
  4. Step 4: Simplify right side
    67,842.12x = 3,684,525,505.10
  5. Step 5: Solve for x
    x = 3,684,525,505.10/67,842.12
  6. Step 6: Final answer
    x = 54,310.29

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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.