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Finding the Fourth Proportional to 126,136.74, 189,205.81 and 32,642.49

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Solution

The fourth proportional to 126,136.74, 189,205.81 and 32,642.49 is: 48,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,136.74 : 189,205.81 = 32,642.49 : x
  2. Step 2: Convert to fraction form
    126,136.74/189,205.81 = 32,642.49/x
  3. Step 3: Cross multiply
    126,136.74x = 189,205.81 × 32,642.49
  4. Step 4: Simplify right side
    126,136.74x = 6,176,149,388.78
  5. Step 5: Solve for x
    x = 6,176,149,388.78/126,136.74
  6. Step 6: Final answer
    x = 48,963.92

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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.