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Finding the Fourth Proportional to 71,093.88, 106,637.43 and 17,786.22

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Solution

The fourth proportional to 71,093.88, 106,637.43 and 17,786.22 is: 26,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,093.88 : 106,637.43 = 17,786.22 : x
  2. Step 2: Convert to fraction form
    71,093.88/106,637.43 = 17,786.22/x
  3. Step 3: Cross multiply
    71,093.88x = 106,637.43 × 17,786.22
  4. Step 4: Simplify right side
    71,093.88x = 1,896,676,790.21
  5. Step 5: Solve for x
    x = 1,896,676,790.21/71,093.88
  6. Step 6: Final answer
    x = 26,678.48

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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.