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Finding the Fourth Proportional to 50,116, 69,162.24 and 27,760

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Solution

The fourth proportional to 50,116, 69,162.24 and 27,760 is: 38,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 69,162.24 = 27,760 : x
  2. Step 2: Convert to fraction form
    50,116/69,162.24 = 27,760/x
  3. Step 3: Cross multiply
    50,116x = 69,162.24 × 27,760
  4. Step 4: Simplify right side
    50,116x = 1,919,943,782.40
  5. Step 5: Solve for x
    x = 1,919,943,782.40/50,116
  6. Step 6: Final answer
    x = 38,310.00

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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.