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Finding the Fourth Proportional to 67,138.02, 100,727.04 and 27,697.50

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Solution

The fourth proportional to 67,138.02, 100,727.04 and 27,697.50 is: 41,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.02 : 100,727.04 = 27,697.50 : x
  2. Step 2: Convert to fraction form
    67,138.02/100,727.04 = 27,697.50/x
  3. Step 3: Cross multiply
    67,138.02x = 100,727.04 × 27,697.50
  4. Step 4: Simplify right side
    67,138.02x = 2,789,887,190.40
  5. Step 5: Solve for x
    x = 2,789,887,190.40/67,138.02
  6. Step 6: Final answer
    x = 41,554.51

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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.