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Finding the Fourth Proportional to 50,103.91, 69,140.92 and 27,443

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Solution

The fourth proportional to 50,103.91, 69,140.92 and 27,443 is: 37,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,103.91 : 69,140.92 = 27,443 : x
  2. Step 2: Convert to fraction form
    50,103.91/69,140.92 = 27,443/x
  3. Step 3: Cross multiply
    50,103.91x = 69,140.92 × 27,443
  4. Step 4: Simplify right side
    50,103.91x = 1,897,434,267.56
  5. Step 5: Solve for x
    x = 1,897,434,267.56/50,103.91
  6. Step 6: Final answer
    x = 37,869.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.