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Finding the Fourth Proportional to 33,856.75, 50,785.14 and 9,232.75

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Solution

The fourth proportional to 33,856.75, 50,785.14 and 9,232.75 is: 13,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.75 : 50,785.14 = 9,232.75 : x
  2. Step 2: Convert to fraction form
    33,856.75/50,785.14 = 9,232.75/x
  3. Step 3: Cross multiply
    33,856.75x = 50,785.14 × 9,232.75
  4. Step 4: Simplify right side
    33,856.75x = 468,886,501.34
  5. Step 5: Solve for x
    x = 468,886,501.34/33,856.75
  6. Step 6: Final answer
    x = 13,849.13

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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.