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Finding the Fourth Proportional to 49,491.98, 68,300.53 and 27,982.36

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Solution

The fourth proportional to 49,491.98, 68,300.53 and 27,982.36 is: 38,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.98 : 68,300.53 = 27,982.36 : x
  2. Step 2: Convert to fraction form
    49,491.98/68,300.53 = 27,982.36/x
  3. Step 3: Cross multiply
    49,491.98x = 68,300.53 × 27,982.36
  4. Step 4: Simplify right side
    49,491.98x = 1,911,209,677.15
  5. Step 5: Solve for x
    x = 1,911,209,677.15/49,491.98
  6. Step 6: Final answer
    x = 38,616.56

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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.