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Finding the Fourth Proportional to 77,226.74, 115,849.65 and 27,296.54

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Solution

The fourth proportional to 77,226.74, 115,849.65 and 27,296.54 is: 40,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.74 : 115,849.65 = 27,296.54 : x
  2. Step 2: Convert to fraction form
    77,226.74/115,849.65 = 27,296.54/x
  3. Step 3: Cross multiply
    77,226.74x = 115,849.65 × 27,296.54
  4. Step 4: Simplify right side
    77,226.74x = 3,162,294,997.20
  5. Step 5: Solve for x
    x = 3,162,294,997.20/77,226.74
  6. Step 6: Final answer
    x = 40,948.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.