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Finding the Fourth Proportional to 50,406.91, 69,561.78 and 27,748.18

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Solution

The fourth proportional to 50,406.91, 69,561.78 and 27,748.18 is: 38,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406.91 : 69,561.78 = 27,748.18 : x
  2. Step 2: Convert to fraction form
    50,406.91/69,561.78 = 27,748.18/x
  3. Step 3: Cross multiply
    50,406.91x = 69,561.78 × 27,748.18
  4. Step 4: Simplify right side
    50,406.91x = 1,930,212,444.75
  5. Step 5: Solve for x
    x = 1,930,212,444.75/50,406.91
  6. Step 6: Final answer
    x = 38,292.62

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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.