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Finding the Fourth Proportional to 33,701.76, 50,546.56 and 9,072

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Solution

The fourth proportional to 33,701.76, 50,546.56 and 9,072 is: 13,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,701.76 : 50,546.56 = 9,072 : x
  2. Step 2: Convert to fraction form
    33,701.76/50,546.56 = 9,072/x
  3. Step 3: Cross multiply
    33,701.76x = 50,546.56 × 9,072
  4. Step 4: Simplify right side
    33,701.76x = 458,558,392.32
  5. Step 5: Solve for x
    x = 458,558,392.32/33,701.76
  6. Step 6: Final answer
    x = 13,606.36

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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.