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Finding the Fourth Proportional to 73,206, 109,743.84 and 26,448.48

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Solution

The fourth proportional to 73,206, 109,743.84 and 26,448.48 is: 39,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 109,743.84 = 26,448.48 : x
  2. Step 2: Convert to fraction form
    73,206/109,743.84 = 26,448.48/x
  3. Step 3: Cross multiply
    73,206x = 109,743.84 × 26,448.48
  4. Step 4: Simplify right side
    73,206x = 2,902,557,757.36
  5. Step 5: Solve for x
    x = 2,902,557,757.36/73,206
  6. Step 6: Final answer
    x = 39,649.18

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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.