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Finding the Fourth Proportional to 50,376.49, 69,519.56 and 27,715

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Solution

The fourth proportional to 50,376.49, 69,519.56 and 27,715 is: 38,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,376.49 : 69,519.56 = 27,715 : x
  2. Step 2: Convert to fraction form
    50,376.49/69,519.56 = 27,715/x
  3. Step 3: Cross multiply
    50,376.49x = 69,519.56 × 27,715
  4. Step 4: Simplify right side
    50,376.49x = 1,926,734,605.40
  5. Step 5: Solve for x
    x = 1,926,734,605.40/50,376.49
  6. Step 6: Final answer
    x = 38,246.70

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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.