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Finding the Fourth Proportional to 126,511.32, 189,781.56 and 33,024.36

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Solution

The fourth proportional to 126,511.32, 189,781.56 and 33,024.36 is: 49,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,511.32 : 189,781.56 = 33,024.36 : x
  2. Step 2: Convert to fraction form
    126,511.32/189,781.56 = 33,024.36/x
  3. Step 3: Cross multiply
    126,511.32x = 189,781.56 × 33,024.36
  4. Step 4: Simplify right side
    126,511.32x = 6,267,414,558.80
  5. Step 5: Solve for x
    x = 6,267,414,558.80/126,511.32
  6. Step 6: Final answer
    x = 49,540.35

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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.