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Finding the Fourth Proportional to 50,085, 69,117.78 and 27,729.48

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Solution

The fourth proportional to 50,085, 69,117.78 and 27,729.48 is: 38,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,085 : 69,117.78 = 27,729.48 : x
  2. Step 2: Convert to fraction form
    50,085/69,117.78 = 27,729.48/x
  3. Step 3: Cross multiply
    50,085x = 69,117.78 × 27,729.48
  4. Step 4: Simplify right side
    50,085x = 1,916,600,098.15
  5. Step 5: Solve for x
    x = 1,916,600,098.15/50,085
  6. Step 6: Final answer
    x = 38,266.95

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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.