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Finding the Fourth Proportional to 33,231.64, 49,839 and 9,852.64

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Solution

The fourth proportional to 33,231.64, 49,839 and 9,852.64 is: 14,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.64 : 49,839 = 9,852.64 : x
  2. Step 2: Convert to fraction form
    33,231.64/49,839 = 9,852.64/x
  3. Step 3: Cross multiply
    33,231.64x = 49,839 × 9,852.64
  4. Step 4: Simplify right side
    33,231.64x = 491,045,724.96
  5. Step 5: Solve for x
    x = 491,045,724.96/33,231.64
  6. Step 6: Final answer
    x = 14,776.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.