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Finding the Fourth Proportional to 75,619.40, 113,412.90 and 33,499.40

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Solution

The fourth proportional to 75,619.40, 113,412.90 and 33,499.40 is: 50,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,619.40 : 113,412.90 = 33,499.40 : x
  2. Step 2: Convert to fraction form
    75,619.40/113,412.90 = 33,499.40/x
  3. Step 3: Cross multiply
    75,619.40x = 113,412.90 × 33,499.40
  4. Step 4: Simplify right side
    75,619.40x = 3,799,264,102.26
  5. Step 5: Solve for x
    x = 3,799,264,102.26/75,619.40
  6. Step 6: Final answer
    x = 50,241.92

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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.