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Finding the Fourth Proportional to 75,757.37, 113,623.17 and 22,448.22

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Solution

The fourth proportional to 75,757.37, 113,623.17 and 22,448.22 is: 33,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,757.37 : 113,623.17 = 22,448.22 : x
  2. Step 2: Convert to fraction form
    75,757.37/113,623.17 = 22,448.22/x
  3. Step 3: Cross multiply
    75,757.37x = 113,623.17 × 22,448.22
  4. Step 4: Simplify right side
    75,757.37x = 2,550,637,917.26
  5. Step 5: Solve for x
    x = 2,550,637,917.26/75,757.37
  6. Step 6: Final answer
    x = 33,668.51

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