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Finding the Fourth Proportional to 49,137.30, 67,809.70 and 27,917.72

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Solution

The fourth proportional to 49,137.30, 67,809.70 and 27,917.72 is: 38,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,137.30 : 67,809.70 = 27,917.72 : x
  2. Step 2: Convert to fraction form
    49,137.30/67,809.70 = 27,917.72/x
  3. Step 3: Cross multiply
    49,137.30x = 67,809.70 × 27,917.72
  4. Step 4: Simplify right side
    49,137.30x = 1,893,092,217.88
  5. Step 5: Solve for x
    x = 1,893,092,217.88/49,137.30
  6. Step 6: Final answer
    x = 38,526.58

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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.