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Finding the Fourth Proportional to 33,087.74, 45,661.20 and 17,980.48

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Solution

The fourth proportional to 33,087.74, 45,661.20 and 17,980.48 is: 24,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,087.74 : 45,661.20 = 17,980.48 : x
  2. Step 2: Convert to fraction form
    33,087.74/45,661.20 = 17,980.48/x
  3. Step 3: Cross multiply
    33,087.74x = 45,661.20 × 17,980.48
  4. Step 4: Simplify right side
    33,087.74x = 821,010,293.38
  5. Step 5: Solve for x
    x = 821,010,293.38/33,087.74
  6. Step 6: Final answer
    x = 24,813.13

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Why These Related Problems?

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