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Finding the Fourth Proportional to 50,340, 69,469.44 and 27,984

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Solution

The fourth proportional to 50,340, 69,469.44 and 27,984 is: 38,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340 : 69,469.44 = 27,984 : x
  2. Step 2: Convert to fraction form
    50,340/69,469.44 = 27,984/x
  3. Step 3: Cross multiply
    50,340x = 69,469.44 × 27,984
  4. Step 4: Simplify right side
    50,340x = 1,944,032,808.96
  5. Step 5: Solve for x
    x = 1,944,032,808.96/50,340
  6. Step 6: Final answer
    x = 38,618.05

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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.