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Finding the Fourth Proportional to 71,345.75, 107,019.63 and 33,909.57

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Solution

The fourth proportional to 71,345.75, 107,019.63 and 33,909.57 is: 50,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345.75 : 107,019.63 = 33,909.57 : x
  2. Step 2: Convert to fraction form
    71,345.75/107,019.63 = 33,909.57/x
  3. Step 3: Cross multiply
    71,345.75x = 107,019.63 × 33,909.57
  4. Step 4: Simplify right side
    71,345.75x = 3,628,989,634.86
  5. Step 5: Solve for x
    x = 3,628,989,634.86/71,345.75
  6. Step 6: Final answer
    x = 50,864.84

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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.