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Finding the Fourth Proportional to 75,837.08, 113,755.68 and 20,433.08

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Solution

The fourth proportional to 75,837.08, 113,755.68 and 20,433.08 is: 30,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,837.08 : 113,755.68 = 20,433.08 : x
  2. Step 2: Convert to fraction form
    75,837.08/113,755.68 = 20,433.08/x
  3. Step 3: Cross multiply
    75,837.08x = 113,755.68 × 20,433.08
  4. Step 4: Simplify right side
    75,837.08x = 2,324,378,909.89
  5. Step 5: Solve for x
    x = 2,324,378,909.89/75,837.08
  6. Step 6: Final answer
    x = 30,649.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.