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Finding the Fourth Proportional to 49,043.90, 67,678.58 and 27,822.71

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Solution

The fourth proportional to 49,043.90, 67,678.58 and 27,822.71 is: 38,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,043.90 : 67,678.58 = 27,822.71 : x
  2. Step 2: Convert to fraction form
    49,043.90/67,678.58 = 27,822.71/x
  3. Step 3: Cross multiply
    49,043.90x = 67,678.58 × 27,822.71
  4. Step 4: Simplify right side
    49,043.90x = 1,883,001,027.05
  5. Step 5: Solve for x
    x = 1,883,001,027.05/49,043.90
  6. Step 6: Final answer
    x = 38,394.20

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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.