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Finding the Fourth Proportional to 33,546.15, 50,308.74 and 9,847.77

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Solution

The fourth proportional to 33,546.15, 50,308.74 and 9,847.77 is: 14,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546.15 : 50,308.74 = 9,847.77 : x
  2. Step 2: Convert to fraction form
    33,546.15/50,308.74 = 9,847.77/x
  3. Step 3: Cross multiply
    33,546.15x = 50,308.74 × 9,847.77
  4. Step 4: Simplify right side
    33,546.15x = 495,428,900.51
  5. Step 5: Solve for x
    x = 495,428,900.51/33,546.15
  6. Step 6: Final answer
    x = 14,768.58

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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.