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Finding the Fourth Proportional to 75,633.72, 113,303.12 and 43,965.96

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Solution

The fourth proportional to 75,633.72, 113,303.12 and 43,965.96 is: 65,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633.72 : 113,303.12 = 43,965.96 : x
  2. Step 2: Convert to fraction form
    75,633.72/113,303.12 = 43,965.96/x
  3. Step 3: Cross multiply
    75,633.72x = 113,303.12 × 43,965.96
  4. Step 4: Simplify right side
    75,633.72x = 4,981,480,441.80
  5. Step 5: Solve for x
    x = 4,981,480,441.80/75,633.72
  6. Step 6: Final answer
    x = 65,863.22

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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.