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Finding the Fourth Proportional to 75,642.14, 113,410.68 and 33,499.26

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Solution

The fourth proportional to 75,642.14, 113,410.68 and 33,499.26 is: 50,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.14 : 113,410.68 = 33,499.26 : x
  2. Step 2: Convert to fraction form
    75,642.14/113,410.68 = 33,499.26/x
  3. Step 3: Cross multiply
    75,642.14x = 113,410.68 × 33,499.26
  4. Step 4: Simplify right side
    75,642.14x = 3,799,173,730.47
  5. Step 5: Solve for x
    x = 3,799,173,730.47/75,642.14
  6. Step 6: Final answer
    x = 50,225.62

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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.