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Finding the Fourth Proportional to 50,404.91, 69,559.02 and 27,746.17

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Solution

The fourth proportional to 50,404.91, 69,559.02 and 27,746.17 is: 38,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.91 : 69,559.02 = 27,746.17 : x
  2. Step 2: Convert to fraction form
    50,404.91/69,559.02 = 27,746.17/x
  3. Step 3: Cross multiply
    50,404.91x = 69,559.02 × 27,746.17
  4. Step 4: Simplify right side
    50,404.91x = 1,929,996,220.06
  5. Step 5: Solve for x
    x = 1,929,996,220.06/50,404.91
  6. Step 6: Final answer
    x = 38,289.85

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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.