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Finding the Fourth Proportional to 75,441.49, 113,186.80 and 35,993.50

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Solution

The fourth proportional to 75,441.49, 113,186.80 and 35,993.50 is: 54,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,441.49 : 113,186.80 = 35,993.50 : x
  2. Step 2: Convert to fraction form
    75,441.49/113,186.80 = 35,993.50/x
  3. Step 3: Cross multiply
    75,441.49x = 113,186.80 × 35,993.50
  4. Step 4: Simplify right side
    75,441.49x = 4,073,989,085.80
  5. Step 5: Solve for x
    x = 4,073,989,085.80/75,441.49
  6. Step 6: Final answer
    x = 54,001.97

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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.