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Finding the Fourth Proportional to 57,952.68, 86,921.76 and 18,506.52

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Solution

The fourth proportional to 57,952.68, 86,921.76 and 18,506.52 is: 27,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.68 : 86,921.76 = 18,506.52 : x
  2. Step 2: Convert to fraction form
    57,952.68/86,921.76 = 18,506.52/x
  3. Step 3: Cross multiply
    57,952.68x = 86,921.76 × 18,506.52
  4. Step 4: Simplify right side
    57,952.68x = 1,608,619,289.88
  5. Step 5: Solve for x
    x = 1,608,619,289.88/57,952.68
  6. Step 6: Final answer
    x = 27,757.46

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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.