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Finding the Fourth Proportional to 49,697, 68,581.86 and 27,341

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Solution

The fourth proportional to 49,697, 68,581.86 and 27,341 is: 37,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,697 : 68,581.86 = 27,341 : x
  2. Step 2: Convert to fraction form
    49,697/68,581.86 = 27,341/x
  3. Step 3: Cross multiply
    49,697x = 68,581.86 × 27,341
  4. Step 4: Simplify right side
    49,697x = 1,875,096,634.26
  5. Step 5: Solve for x
    x = 1,875,096,634.26/49,697
  6. Step 6: Final answer
    x = 37,730.58

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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.