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Finding the Fourth Proportional to 33,021, 49,531.50 and 9,647.64

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Solution

The fourth proportional to 33,021, 49,531.50 and 9,647.64 is: 14,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 49,531.50 = 9,647.64 : x
  2. Step 2: Convert to fraction form
    33,021/49,531.50 = 9,647.64/x
  3. Step 3: Cross multiply
    33,021x = 49,531.50 × 9,647.64
  4. Step 4: Simplify right side
    33,021x = 477,862,080.66
  5. Step 5: Solve for x
    x = 477,862,080.66/33,021
  6. Step 6: Final answer
    x = 14,471.46

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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.