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Finding the Fourth Proportional to 33,965.64, 50,947.56 and 9,005.76

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Solution

The fourth proportional to 33,965.64, 50,947.56 and 9,005.76 is: 13,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,965.64 : 50,947.56 = 9,005.76 : x
  2. Step 2: Convert to fraction form
    33,965.64/50,947.56 = 9,005.76/x
  3. Step 3: Cross multiply
    33,965.64x = 50,947.56 × 9,005.76
  4. Step 4: Simplify right side
    33,965.64x = 458,821,497.95
  5. Step 5: Solve for x
    x = 458,821,497.95/33,965.64
  6. Step 6: Final answer
    x = 13,508.40

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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.