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Finding the Fourth Proportional to 33,152.64, 49,728.94 and 9,777.24

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Solution

The fourth proportional to 33,152.64, 49,728.94 and 9,777.24 is: 14,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.64 : 49,728.94 = 9,777.24 : x
  2. Step 2: Convert to fraction form
    33,152.64/49,728.94 = 9,777.24/x
  3. Step 3: Cross multiply
    33,152.64x = 49,728.94 × 9,777.24
  4. Step 4: Simplify right side
    33,152.64x = 486,211,781.33
  5. Step 5: Solve for x
    x = 486,211,781.33/33,152.64
  6. Step 6: Final answer
    x = 14,665.85

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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.