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Finding the Fourth Proportional to 33,214, 45,833.02 and 18,680.36

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Solution

The fourth proportional to 33,214, 45,833.02 and 18,680.36 is: 25,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214 : 45,833.02 = 18,680.36 : x
  2. Step 2: Convert to fraction form
    33,214/45,833.02 = 18,680.36/x
  3. Step 3: Cross multiply
    33,214x = 45,833.02 × 18,680.36
  4. Step 4: Simplify right side
    33,214x = 856,177,313.49
  5. Step 5: Solve for x
    x = 856,177,313.49/33,214
  6. Step 6: Final answer
    x = 25,777.60

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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.