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Finding the Fourth Proportional to 100,811.58, 151,206.56 and 30,691.50

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Solution

The fourth proportional to 100,811.58, 151,206.56 and 30,691.50 is: 46,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811.58 : 151,206.56 = 30,691.50 : x
  2. Step 2: Convert to fraction form
    100,811.58/151,206.56 = 30,691.50/x
  3. Step 3: Cross multiply
    100,811.58x = 151,206.56 × 30,691.50
  4. Step 4: Simplify right side
    100,811.58x = 4,640,756,136.24
  5. Step 5: Solve for x
    x = 4,640,756,136.24/100,811.58
  6. Step 6: Final answer
    x = 46,033.96

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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.