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Finding the Fourth Proportional to 33,078, 45,647.28 and 17,970.69

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Solution

The fourth proportional to 33,078, 45,647.28 and 17,970.69 is: 24,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078 : 45,647.28 = 17,970.69 : x
  2. Step 2: Convert to fraction form
    33,078/45,647.28 = 17,970.69/x
  3. Step 3: Cross multiply
    33,078x = 45,647.28 × 17,970.69
  4. Step 4: Simplify right side
    33,078x = 820,313,118.22
  5. Step 5: Solve for x
    x = 820,313,118.22/33,078
  6. Step 6: Final answer
    x = 24,799.36

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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.