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Finding the Fourth Proportional to 50,075.50, 69,104.19 and 27,414.42

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Solution

The fourth proportional to 50,075.50, 69,104.19 and 27,414.42 is: 37,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,075.50 : 69,104.19 = 27,414.42 : x
  2. Step 2: Convert to fraction form
    50,075.50/69,104.19 = 27,414.42/x
  3. Step 3: Cross multiply
    50,075.50x = 69,104.19 × 27,414.42
  4. Step 4: Simplify right side
    50,075.50x = 1,894,451,288.42
  5. Step 5: Solve for x
    x = 1,894,451,288.42/50,075.50
  6. Step 6: Final answer
    x = 37,831.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.