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Finding the Fourth Proportional to 50,186.75, 69,257.72 and 27,830.75

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Solution

The fourth proportional to 50,186.75, 69,257.72 and 27,830.75 is: 38,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.75 : 69,257.72 = 27,830.75 : x
  2. Step 2: Convert to fraction form
    50,186.75/69,257.72 = 27,830.75/x
  3. Step 3: Cross multiply
    50,186.75x = 69,257.72 × 27,830.75
  4. Step 4: Simplify right side
    50,186.75x = 1,927,494,151.74
  5. Step 5: Solve for x
    x = 1,927,494,151.74/50,186.75
  6. Step 6: Final answer
    x = 38,406.44

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Why These Related Problems?

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