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Finding the Fourth Proportional to 33,109.97, 49,696.16 and 12,070.34

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Solution

The fourth proportional to 33,109.97, 49,696.16 and 12,070.34 is: 18,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.97 : 49,696.16 = 12,070.34 : x
  2. Step 2: Convert to fraction form
    33,109.97/49,696.16 = 12,070.34/x
  3. Step 3: Cross multiply
    33,109.97x = 49,696.16 × 12,070.34
  4. Step 4: Simplify right side
    33,109.97x = 599,849,487.54
  5. Step 5: Solve for x
    x = 599,849,487.54/33,109.97
  6. Step 6: Final answer
    x = 18,116.89

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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.