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Finding the Fourth Proportional to 50,773.49, 70,068.29 and 27,805.33

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Solution

The fourth proportional to 50,773.49, 70,068.29 and 27,805.33 is: 38,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,773.49 : 70,068.29 = 27,805.33 : x
  2. Step 2: Convert to fraction form
    50,773.49/70,068.29 = 27,805.33/x
  3. Step 3: Cross multiply
    50,773.49x = 70,068.29 × 27,805.33
  4. Step 4: Simplify right side
    50,773.49x = 1,948,271,786.96
  5. Step 5: Solve for x
    x = 1,948,271,786.96/50,773.49
  6. Step 6: Final answer
    x = 38,371.83

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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.