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Finding the Fourth Proportional to 33,055.97, 49,549.96 and 13,057.34

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Solution

The fourth proportional to 33,055.97, 49,549.96 and 13,057.34 is: 19,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,055.97 : 49,549.96 = 13,057.34 : x
  2. Step 2: Convert to fraction form
    33,055.97/49,549.96 = 13,057.34/x
  3. Step 3: Cross multiply
    33,055.97x = 49,549.96 × 13,057.34
  4. Step 4: Simplify right side
    33,055.97x = 646,990,443.28
  5. Step 5: Solve for x
    x = 646,990,443.28/33,055.97
  6. Step 6: Final answer
    x = 19,572.58

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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.