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Finding the Fourth Proportional to 32,692.86, 49,034.43 and 11,911.50

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Solution

The fourth proportional to 32,692.86, 49,034.43 and 11,911.50 is: 17,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.86 : 49,034.43 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    32,692.86/49,034.43 = 11,911.50/x
  3. Step 3: Cross multiply
    32,692.86x = 49,034.43 × 11,911.50
  4. Step 4: Simplify right side
    32,692.86x = 584,073,612.95
  5. Step 5: Solve for x
    x = 584,073,612.95/32,692.86
  6. Step 6: Final answer
    x = 17,865.48

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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.