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Finding the Fourth Proportional to 33,488.70, 50,231.76 and 10,114.50

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Solution

The fourth proportional to 33,488.70, 50,231.76 and 10,114.50 is: 15,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488.70 : 50,231.76 = 10,114.50 : x
  2. Step 2: Convert to fraction form
    33,488.70/50,231.76 = 10,114.50/x
  3. Step 3: Cross multiply
    33,488.70x = 50,231.76 × 10,114.50
  4. Step 4: Simplify right side
    33,488.70x = 508,069,136.52
  5. Step 5: Solve for x
    x = 508,069,136.52/33,488.70
  6. Step 6: Final answer
    x = 15,171.36

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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.