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Finding the Fourth Proportional to 50,508, 69,701.44 and 27,847.80

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Solution

The fourth proportional to 50,508, 69,701.44 and 27,847.80 is: 38,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508 : 69,701.44 = 27,847.80 : x
  2. Step 2: Convert to fraction form
    50,508/69,701.44 = 27,847.80/x
  3. Step 3: Cross multiply
    50,508x = 69,701.44 × 27,847.80
  4. Step 4: Simplify right side
    50,508x = 1,941,031,760.83
  5. Step 5: Solve for x
    x = 1,941,031,760.83/50,508
  6. Step 6: Final answer
    x = 38,430.18

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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.