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Finding the Fourth Proportional to 57,502.80, 86,286.60 and 22,437.90

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Solution

The fourth proportional to 57,502.80, 86,286.60 and 22,437.90 is: 33,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.80 : 86,286.60 = 22,437.90 : x
  2. Step 2: Convert to fraction form
    57,502.80/86,286.60 = 22,437.90/x
  3. Step 3: Cross multiply
    57,502.80x = 86,286.60 × 22,437.90
  4. Step 4: Simplify right side
    57,502.80x = 1,936,090,102.14
  5. Step 5: Solve for x
    x = 1,936,090,102.14/57,502.80
  6. Step 6: Final answer
    x = 33,669.49

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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.