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Finding the Fourth Proportional to 43,385, 65,086.68 and 24,674

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Solution

The fourth proportional to 43,385, 65,086.68 and 24,674 is: 37,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385 : 65,086.68 = 24,674 : x
  2. Step 2: Convert to fraction form
    43,385/65,086.68 = 24,674/x
  3. Step 3: Cross multiply
    43,385x = 65,086.68 × 24,674
  4. Step 4: Simplify right side
    43,385x = 1,605,948,742.32
  5. Step 5: Solve for x
    x = 1,605,948,742.32/43,385
  6. Step 6: Final answer
    x = 37,016.22

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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.