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Finding the Fourth Proportional to 50,314.34, 69,433.74 and 27,654.80

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Solution

The fourth proportional to 50,314.34, 69,433.74 and 27,654.80 is: 38,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.34 : 69,433.74 = 27,654.80 : x
  2. Step 2: Convert to fraction form
    50,314.34/69,433.74 = 27,654.80/x
  3. Step 3: Cross multiply
    50,314.34x = 69,433.74 × 27,654.80
  4. Step 4: Simplify right side
    50,314.34x = 1,920,176,192.95
  5. Step 5: Solve for x
    x = 1,920,176,192.95/50,314.34
  6. Step 6: Final answer
    x = 38,163.60

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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.