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Finding the Fourth Proportional to 52,292.26, 78,441.42 and 19,012.18

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Solution

The fourth proportional to 52,292.26, 78,441.42 and 19,012.18 is: 28,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,292.26 : 78,441.42 = 19,012.18 : x
  2. Step 2: Convert to fraction form
    52,292.26/78,441.42 = 19,012.18/x
  3. Step 3: Cross multiply
    52,292.26x = 78,441.42 × 19,012.18
  4. Step 4: Simplify right side
    52,292.26x = 1,491,342,396.50
  5. Step 5: Solve for x
    x = 1,491,342,396.50/52,292.26
  6. Step 6: Final answer
    x = 28,519.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.