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Finding the Fourth Proportional to 32,692.52, 49,046.04 and 11,916

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Solution

The fourth proportional to 32,692.52, 49,046.04 and 11,916 is: 17,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.52 : 49,046.04 = 11,916 : x
  2. Step 2: Convert to fraction form
    32,692.52/49,046.04 = 11,916/x
  3. Step 3: Cross multiply
    32,692.52x = 49,046.04 × 11,916
  4. Step 4: Simplify right side
    32,692.52x = 584,432,612.64
  5. Step 5: Solve for x
    x = 584,432,612.64/32,692.52
  6. Step 6: Final answer
    x = 17,876.65

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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.