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Finding the Fourth Proportional to 33,649.11, 50,476.10 and 13,649.00

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Solution

The fourth proportional to 33,649.11, 50,476.10 and 13,649.00 is: 20,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649.11 : 50,476.10 = 13,649.00 : x
  2. Step 2: Convert to fraction form
    33,649.11/50,476.10 = 13,649.00/x
  3. Step 3: Cross multiply
    33,649.11x = 50,476.10 × 13,649.00
  4. Step 4: Simplify right side
    33,649.11x = 688,947,968.27
  5. Step 5: Solve for x
    x = 688,947,968.27/33,649.11
  6. Step 6: Final answer
    x = 20,474.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.