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Finding the Fourth Proportional to 57,502.10, 86,201.85 and 22,433.60

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Solution

The fourth proportional to 57,502.10, 86,201.85 and 22,433.60 is: 33,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.10 : 86,201.85 = 22,433.60 : x
  2. Step 2: Convert to fraction form
    57,502.10/86,201.85 = 22,433.60/x
  3. Step 3: Cross multiply
    57,502.10x = 86,201.85 × 22,433.60
  4. Step 4: Simplify right side
    57,502.10x = 1,933,817,822.16
  5. Step 5: Solve for x
    x = 1,933,817,822.16/57,502.10
  6. Step 6: Final answer
    x = 33,630.39

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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.