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Finding the Fourth Proportional to 57,568.88, 86,331.48 and 22,504.16

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Solution

The fourth proportional to 57,568.88, 86,331.48 and 22,504.16 is: 33,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.88 : 86,331.48 = 22,504.16 : x
  2. Step 2: Convert to fraction form
    57,568.88/86,331.48 = 22,504.16/x
  3. Step 3: Cross multiply
    57,568.88x = 86,331.48 × 22,504.16
  4. Step 4: Simplify right side
    57,568.88x = 1,942,817,438.96
  5. Step 5: Solve for x
    x = 1,942,817,438.96/57,568.88
  6. Step 6: Final answer
    x = 33,747.70

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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.