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Finding the Fourth Proportional to 75,644.60, 113,531.70 and 33,589.40

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Solution

The fourth proportional to 75,644.60, 113,531.70 and 33,589.40 is: 50,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644.60 : 113,531.70 = 33,589.40 : x
  2. Step 2: Convert to fraction form
    75,644.60/113,531.70 = 33,589.40/x
  3. Step 3: Cross multiply
    75,644.60x = 113,531.70 × 33,589.40
  4. Step 4: Simplify right side
    75,644.60x = 3,813,461,683.98
  5. Step 5: Solve for x
    x = 3,813,461,683.98/75,644.60
  6. Step 6: Final answer
    x = 50,412.87

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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.