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Finding the Fourth Proportional to 49,609.86, 68,462.33 and 26,949.27

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Solution

The fourth proportional to 49,609.86, 68,462.33 and 26,949.27 is: 37,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609.86 : 68,462.33 = 26,949.27 : x
  2. Step 2: Convert to fraction form
    49,609.86/68,462.33 = 26,949.27/x
  3. Step 3: Cross multiply
    49,609.86x = 68,462.33 × 26,949.27
  4. Step 4: Simplify right side
    49,609.86x = 1,845,009,681.25
  5. Step 5: Solve for x
    x = 1,845,009,681.25/49,609.86
  6. Step 6: Final answer
    x = 37,190.38

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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.