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Finding the Fourth Proportional to 126,636.28, 189,965.34 and 33,142

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Solution

The fourth proportional to 126,636.28, 189,965.34 and 33,142 is: 49,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,636.28 : 189,965.34 = 33,142 : x
  2. Step 2: Convert to fraction form
    126,636.28/189,965.34 = 33,142/x
  3. Step 3: Cross multiply
    126,636.28x = 189,965.34 × 33,142
  4. Step 4: Simplify right side
    126,636.28x = 6,295,831,298.28
  5. Step 5: Solve for x
    x = 6,295,831,298.28/126,636.28
  6. Step 6: Final answer
    x = 49,715.86

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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.