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Finding the Fourth Proportional to 49,212, 67,912.80 and 26,856

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Solution

The fourth proportional to 49,212, 67,912.80 and 26,856 is: 37,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,212 : 67,912.80 = 26,856 : x
  2. Step 2: Convert to fraction form
    49,212/67,912.80 = 26,856/x
  3. Step 3: Cross multiply
    49,212x = 67,912.80 × 26,856
  4. Step 4: Simplify right side
    49,212x = 1,823,866,156.80
  5. Step 5: Solve for x
    x = 1,823,866,156.80/49,212
  6. Step 6: Final answer
    x = 37,061.41

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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.