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Finding the Fourth Proportional to 49,203, 67,900.14 and 26,847

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Solution

The fourth proportional to 49,203, 67,900.14 and 26,847 is: 37,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 67,900.14 = 26,847 : x
  2. Step 2: Convert to fraction form
    49,203/67,900.14 = 26,847/x
  3. Step 3: Cross multiply
    49,203x = 67,900.14 × 26,847
  4. Step 4: Simplify right side
    49,203x = 1,822,915,058.58
  5. Step 5: Solve for x
    x = 1,822,915,058.58/49,203
  6. Step 6: Final answer
    x = 37,048.86

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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.