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Finding the Fourth Proportional to 38,808.57, 53,542.94 and 23,695.77

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Solution

The fourth proportional to 38,808.57, 53,542.94 and 23,695.77 is: 32,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,808.57 : 53,542.94 = 23,695.77 : x
  2. Step 2: Convert to fraction form
    38,808.57/53,542.94 = 23,695.77/x
  3. Step 3: Cross multiply
    38,808.57x = 53,542.94 × 23,695.77
  4. Step 4: Simplify right side
    38,808.57x = 1,268,741,072.88
  5. Step 5: Solve for x
    x = 1,268,741,072.88/38,808.57
  6. Step 6: Final answer
    x = 32,692.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.