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Finding the Fourth Proportional to 33,070.19, 49,604.25 and 8,110.31

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Solution

The fourth proportional to 33,070.19, 49,604.25 and 8,110.31 is: 12,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070.19 : 49,604.25 = 8,110.31 : x
  2. Step 2: Convert to fraction form
    33,070.19/49,604.25 = 8,110.31/x
  3. Step 3: Cross multiply
    33,070.19x = 49,604.25 × 8,110.31
  4. Step 4: Simplify right side
    33,070.19x = 402,305,844.82
  5. Step 5: Solve for x
    x = 402,305,844.82/33,070.19
  6. Step 6: Final answer
    x = 12,165.21

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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.