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Finding the Fourth Proportional to 31,692.80, 47,555.52 and 14,174.24

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Solution

The fourth proportional to 31,692.80, 47,555.52 and 14,174.24 is: 21,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.80 : 47,555.52 = 14,174.24 : x
  2. Step 2: Convert to fraction form
    31,692.80/47,555.52 = 14,174.24/x
  3. Step 3: Cross multiply
    31,692.80x = 47,555.52 × 14,174.24
  4. Step 4: Simplify right side
    31,692.80x = 674,063,353.80
  5. Step 5: Solve for x
    x = 674,063,353.80/31,692.80
  6. Step 6: Final answer
    x = 21,268.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.