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Finding the Fourth Proportional to 33,076.50, 45,646.05 and 17,969.43

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Solution

The fourth proportional to 33,076.50, 45,646.05 and 17,969.43 is: 24,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.50 : 45,646.05 = 17,969.43 : x
  2. Step 2: Convert to fraction form
    33,076.50/45,646.05 = 17,969.43/x
  3. Step 3: Cross multiply
    33,076.50x = 45,646.05 × 17,969.43
  4. Step 4: Simplify right side
    33,076.50x = 820,233,500.25
  5. Step 5: Solve for x
    x = 820,233,500.25/33,076.50
  6. Step 6: Final answer
    x = 24,798.07

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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.