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Finding the Fourth Proportional to 33,234.30, 49,772.16 and 19,164.69

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Solution

The fourth proportional to 33,234.30, 49,772.16 and 19,164.69 is: 28,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.30 : 49,772.16 = 19,164.69 : x
  2. Step 2: Convert to fraction form
    33,234.30/49,772.16 = 19,164.69/x
  3. Step 3: Cross multiply
    33,234.30x = 49,772.16 × 19,164.69
  4. Step 4: Simplify right side
    33,234.30x = 953,868,017.03
  5. Step 5: Solve for x
    x = 953,868,017.03/33,234.30
  6. Step 6: Final answer
    x = 28,701.31

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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.