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Finding the Fourth Proportional to 33,411.46, 50,111.13 and 13,420.14

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Solution

The fourth proportional to 33,411.46, 50,111.13 and 13,420.14 is: 20,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.46 : 50,111.13 = 13,420.14 : x
  2. Step 2: Convert to fraction form
    33,411.46/50,111.13 = 13,420.14/x
  3. Step 3: Cross multiply
    33,411.46x = 50,111.13 × 13,420.14
  4. Step 4: Simplify right side
    33,411.46x = 672,498,496.13
  5. Step 5: Solve for x
    x = 672,498,496.13/33,411.46
  6. Step 6: Final answer
    x = 20,127.78

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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.