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Finding the Fourth Proportional to 49,003.47, 67,624.79 and 27,782.73

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Solution

The fourth proportional to 49,003.47, 67,624.79 and 27,782.73 is: 38,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,003.47 : 67,624.79 = 27,782.73 : x
  2. Step 2: Convert to fraction form
    49,003.47/67,624.79 = 27,782.73/x
  3. Step 3: Cross multiply
    49,003.47x = 67,624.79 × 27,782.73
  4. Step 4: Simplify right side
    49,003.47x = 1,878,801,281.88
  5. Step 5: Solve for x
    x = 1,878,801,281.88/49,003.47
  6. Step 6: Final answer
    x = 38,340.17

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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.