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Finding the Fourth Proportional to 50,647.17, 69,892.68 and 27,986.10

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Solution

The fourth proportional to 50,647.17, 69,892.68 and 27,986.10 is: 38,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.17 : 69,892.68 = 27,986.10 : x
  2. Step 2: Convert to fraction form
    50,647.17/69,892.68 = 27,986.10/x
  3. Step 3: Cross multiply
    50,647.17x = 69,892.68 × 27,986.10
  4. Step 4: Simplify right side
    50,647.17x = 1,956,023,531.75
  5. Step 5: Solve for x
    x = 1,956,023,531.75/50,647.17
  6. Step 6: Final answer
    x = 38,620.59

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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.