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Finding the Fourth Proportional to 103,697.72, 155,571.22 and 33,577

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Solution

The fourth proportional to 103,697.72, 155,571.22 and 33,577 is: 50,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.72 : 155,571.22 = 33,577 : x
  2. Step 2: Convert to fraction form
    103,697.72/155,571.22 = 33,577/x
  3. Step 3: Cross multiply
    103,697.72x = 155,571.22 × 33,577
  4. Step 4: Simplify right side
    103,697.72x = 5,223,614,853.94
  5. Step 5: Solve for x
    x = 5,223,614,853.94/103,697.72
  6. Step 6: Final answer
    x = 50,373.48

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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.