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Finding the Fourth Proportional to 33,452.64, 50,182.80 and 11,258.40

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Solution

The fourth proportional to 33,452.64, 50,182.80 and 11,258.40 is: 16,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452.64 : 50,182.80 = 11,258.40 : x
  2. Step 2: Convert to fraction form
    33,452.64/50,182.80 = 11,258.40/x
  3. Step 3: Cross multiply
    33,452.64x = 50,182.80 × 11,258.40
  4. Step 4: Simplify right side
    33,452.64x = 564,978,035.52
  5. Step 5: Solve for x
    x = 564,978,035.52/33,452.64
  6. Step 6: Final answer
    x = 16,888.89

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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.