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Finding the Fourth Proportional to 33,161.50, 45,801.75 and 21,964.06

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Solution

The fourth proportional to 33,161.50, 45,801.75 and 21,964.06 is: 30,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.50 : 45,801.75 = 21,964.06 : x
  2. Step 2: Convert to fraction form
    33,161.50/45,801.75 = 21,964.06/x
  3. Step 3: Cross multiply
    33,161.50x = 45,801.75 × 21,964.06
  4. Step 4: Simplify right side
    33,161.50x = 1,005,992,385.11
  5. Step 5: Solve for x
    x = 1,005,992,385.11/33,161.50
  6. Step 6: Final answer
    x = 30,336.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.