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Finding the Fourth Proportional to 57,692.41, 86,541.77 and 18,246.58

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Solution

The fourth proportional to 57,692.41, 86,541.77 and 18,246.58 is: 27,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.41 : 86,541.77 = 18,246.58 : x
  2. Step 2: Convert to fraction form
    57,692.41/86,541.77 = 18,246.58/x
  3. Step 3: Cross multiply
    57,692.41x = 86,541.77 × 18,246.58
  4. Step 4: Simplify right side
    57,692.41x = 1,579,091,238.41
  5. Step 5: Solve for x
    x = 1,579,091,238.41/57,692.41
  6. Step 6: Final answer
    x = 27,370.87

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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.