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Finding the Fourth Proportional to 50,085.75, 69,120.62 and 27,729.75

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Solution

The fourth proportional to 50,085.75, 69,120.62 and 27,729.75 is: 38,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,085.75 : 69,120.62 = 27,729.75 : x
  2. Step 2: Convert to fraction form
    50,085.75/69,120.62 = 27,729.75/x
  3. Step 3: Cross multiply
    50,085.75x = 69,120.62 × 27,729.75
  4. Step 4: Simplify right side
    50,085.75x = 1,916,697,373.80
  5. Step 5: Solve for x
    x = 1,916,697,373.80/50,085.75
  6. Step 6: Final answer
    x = 38,268.32

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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.