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Finding the Fourth Proportional to 75,932.80, 113,899.20 and 33,812.80

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Solution

The fourth proportional to 75,932.80, 113,899.20 and 33,812.80 is: 50,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932.80 : 113,899.20 = 33,812.80 : x
  2. Step 2: Convert to fraction form
    75,932.80/113,899.20 = 33,812.80/x
  3. Step 3: Cross multiply
    75,932.80x = 113,899.20 × 33,812.80
  4. Step 4: Simplify right side
    75,932.80x = 3,851,250,869.76
  5. Step 5: Solve for x
    x = 3,851,250,869.76/75,932.80
  6. Step 6: Final answer
    x = 50,719.20

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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.