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Finding the Fourth Proportional to 75,314.43, 103,933.02 and 41,323.22

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Solution

The fourth proportional to 75,314.43, 103,933.02 and 41,323.22 is: 57,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.43 : 103,933.02 = 41,323.22 : x
  2. Step 2: Convert to fraction form
    75,314.43/103,933.02 = 41,323.22/x
  3. Step 3: Cross multiply
    75,314.43x = 103,933.02 × 41,323.22
  4. Step 4: Simplify right side
    75,314.43x = 4,294,847,050.72
  5. Step 5: Solve for x
    x = 4,294,847,050.72/75,314.43
  6. Step 6: Final answer
    x = 57,025.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.