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Finding the Fourth Proportional to 33,016.32, 49,526.16 and 9,644.64

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Solution

The fourth proportional to 33,016.32, 49,526.16 and 9,644.64 is: 14,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016.32 : 49,526.16 = 9,644.64 : x
  2. Step 2: Convert to fraction form
    33,016.32/49,526.16 = 9,644.64/x
  3. Step 3: Cross multiply
    33,016.32x = 49,526.16 × 9,644.64
  4. Step 4: Simplify right side
    33,016.32x = 477,661,983.78
  5. Step 5: Solve for x
    x = 477,661,983.78/33,016.32
  6. Step 6: Final answer
    x = 14,467.45

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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.