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Finding the Fourth Proportional to 77,151.40, 115,727.10 and 27,231.10

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Solution

The fourth proportional to 77,151.40, 115,727.10 and 27,231.10 is: 40,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,151.40 : 115,727.10 = 27,231.10 : x
  2. Step 2: Convert to fraction form
    77,151.40/115,727.10 = 27,231.10/x
  3. Step 3: Cross multiply
    77,151.40x = 115,727.10 × 27,231.10
  4. Step 4: Simplify right side
    77,151.40x = 3,151,376,232.81
  5. Step 5: Solve for x
    x = 3,151,376,232.81/77,151.40
  6. Step 6: Final answer
    x = 40,846.65

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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.