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Finding the Fourth Proportional to 33,856.42, 50,753.52 and 11,664.52

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Solution

The fourth proportional to 33,856.42, 50,753.52 and 11,664.52 is: 17,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.42 : 50,753.52 = 11,664.52 : x
  2. Step 2: Convert to fraction form
    33,856.42/50,753.52 = 11,664.52/x
  3. Step 3: Cross multiply
    33,856.42x = 50,753.52 × 11,664.52
  4. Step 4: Simplify right side
    33,856.42x = 592,015,449.11
  5. Step 5: Solve for x
    x = 592,015,449.11/33,856.42
  6. Step 6: Final answer
    x = 17,486.06

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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.