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Finding the Fourth Proportional to 57,645.82, 86,471.39 and 17,661.94

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Solution

The fourth proportional to 57,645.82, 86,471.39 and 17,661.94 is: 26,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.82 : 86,471.39 = 17,661.94 : x
  2. Step 2: Convert to fraction form
    57,645.82/86,471.39 = 17,661.94/x
  3. Step 3: Cross multiply
    57,645.82x = 86,471.39 × 17,661.94
  4. Step 4: Simplify right side
    57,645.82x = 1,527,252,501.90
  5. Step 5: Solve for x
    x = 1,527,252,501.90/57,645.82
  6. Step 6: Final answer
    x = 26,493.72

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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.