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Finding the Fourth Proportional to 49,209.97, 73,703.97 and 22,859.26

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Solution

The fourth proportional to 49,209.97, 73,703.97 and 22,859.26 is: 34,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.97 : 73,703.97 = 22,859.26 : x
  2. Step 2: Convert to fraction form
    49,209.97/73,703.97 = 22,859.26/x
  3. Step 3: Cross multiply
    49,209.97x = 73,703.97 × 22,859.26
  4. Step 4: Simplify right side
    49,209.97x = 1,684,818,114.72
  5. Step 5: Solve for x
    x = 1,684,818,114.72/49,209.97
  6. Step 6: Final answer
    x = 34,237.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.