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Finding the Fourth Proportional to 57,706.28, 86,570.64 and 22,165

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Solution

The fourth proportional to 57,706.28, 86,570.64 and 22,165 is: 33,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.28 : 86,570.64 = 22,165 : x
  2. Step 2: Convert to fraction form
    57,706.28/86,570.64 = 22,165/x
  3. Step 3: Cross multiply
    57,706.28x = 86,570.64 × 22,165
  4. Step 4: Simplify right side
    57,706.28x = 1,918,838,235.60
  5. Step 5: Solve for x
    x = 1,918,838,235.60/57,706.28
  6. Step 6: Final answer
    x = 33,251.81

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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.