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Finding the Fourth Proportional to 73,896.57, 110,824.65 and 26,502.87

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Solution

The fourth proportional to 73,896.57, 110,824.65 and 26,502.87 is: 39,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.57 : 110,824.65 = 26,502.87 : x
  2. Step 2: Convert to fraction form
    73,896.57/110,824.65 = 26,502.87/x
  3. Step 3: Cross multiply
    73,896.57x = 110,824.65 × 26,502.87
  4. Step 4: Simplify right side
    73,896.57x = 2,937,171,291.75
  5. Step 5: Solve for x
    x = 2,937,171,291.75/73,896.57
  6. Step 6: Final answer
    x = 39,747.06

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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.