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Finding the Fourth Proportional to 57,568.60, 86,227.91 and 27,924.13

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Solution

The fourth proportional to 57,568.60, 86,227.91 and 27,924.13 is: 41,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.60 : 86,227.91 = 27,924.13 : x
  2. Step 2: Convert to fraction form
    57,568.60/86,227.91 = 27,924.13/x
  3. Step 3: Cross multiply
    57,568.60x = 86,227.91 × 27,924.13
  4. Step 4: Simplify right side
    57,568.60x = 2,407,838,797.71
  5. Step 5: Solve for x
    x = 2,407,838,797.71/57,568.60
  6. Step 6: Final answer
    x = 41,825.56

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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.