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Finding the Fourth Proportional to 50,377.49, 69,520.94 and 27,716

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Solution

The fourth proportional to 50,377.49, 69,520.94 and 27,716 is: 38,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,377.49 : 69,520.94 = 27,716 : x
  2. Step 2: Convert to fraction form
    50,377.49/69,520.94 = 27,716/x
  3. Step 3: Cross multiply
    50,377.49x = 69,520.94 × 27,716
  4. Step 4: Simplify right side
    50,377.49x = 1,926,842,373.04
  5. Step 5: Solve for x
    x = 1,926,842,373.04/50,377.49
  6. Step 6: Final answer
    x = 38,248.08

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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.