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Finding the Fourth Proportional to 50,308.27, 69,424.02 and 27,647.28

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Solution

The fourth proportional to 50,308.27, 69,424.02 and 27,647.28 is: 38,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308.27 : 69,424.02 = 27,647.28 : x
  2. Step 2: Convert to fraction form
    50,308.27/69,424.02 = 27,647.28/x
  3. Step 3: Cross multiply
    50,308.27x = 69,424.02 × 27,647.28
  4. Step 4: Simplify right side
    50,308.27x = 1,919,385,319.67
  5. Step 5: Solve for x
    x = 1,919,385,319.67/50,308.27
  6. Step 6: Final answer
    x = 38,152.48

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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.