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Finding the Fourth Proportional to 33,048, 45,645.12 and 22,419.18

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Solution

The fourth proportional to 33,048, 45,645.12 and 22,419.18 is: 30,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048 : 45,645.12 = 22,419.18 : x
  2. Step 2: Convert to fraction form
    33,048/45,645.12 = 22,419.18/x
  3. Step 3: Cross multiply
    33,048x = 45,645.12 × 22,419.18
  4. Step 4: Simplify right side
    33,048x = 1,023,326,161.40
  5. Step 5: Solve for x
    x = 1,023,326,161.40/33,048
  6. Step 6: Final answer
    x = 30,964.84

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