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Finding the Fourth Proportional to 75,640.89, 113,408.80 and 33,498.01

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Solution

The fourth proportional to 75,640.89, 113,408.80 and 33,498.01 is: 50,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640.89 : 113,408.80 = 33,498.01 : x
  2. Step 2: Convert to fraction form
    75,640.89/113,408.80 = 33,498.01/x
  3. Step 3: Cross multiply
    75,640.89x = 113,408.80 × 33,498.01
  4. Step 4: Simplify right side
    75,640.89x = 3,798,969,116.49
  5. Step 5: Solve for x
    x = 3,798,969,116.49/75,640.89
  6. Step 6: Final answer
    x = 50,223.75

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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.