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Finding the Fourth Proportional to 57,501.60, 86,201.10 and 22,433.10

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Solution

The fourth proportional to 57,501.60, 86,201.10 and 22,433.10 is: 33,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,501.60 : 86,201.10 = 22,433.10 : x
  2. Step 2: Convert to fraction form
    57,501.60/86,201.10 = 22,433.10/x
  3. Step 3: Cross multiply
    57,501.60x = 86,201.10 × 22,433.10
  4. Step 4: Simplify right side
    57,501.60x = 1,933,757,896.41
  5. Step 5: Solve for x
    x = 1,933,757,896.41/57,501.60
  6. Step 6: Final answer
    x = 33,629.64

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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.