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Finding the Fourth Proportional to 50,311.75, 69,430.23 and 27,955.75

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Solution

The fourth proportional to 50,311.75, 69,430.23 and 27,955.75 is: 38,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,311.75 : 69,430.23 = 27,955.75 : x
  2. Step 2: Convert to fraction form
    50,311.75/69,430.23 = 27,955.75/x
  3. Step 3: Cross multiply
    50,311.75x = 69,430.23 × 27,955.75
  4. Step 4: Simplify right side
    50,311.75x = 1,940,974,152.32
  5. Step 5: Solve for x
    x = 1,940,974,152.32/50,311.75
  6. Step 6: Final answer
    x = 38,578.94

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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.