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Finding the Fourth Proportional to 75,301.23, 103,914.09 and 41,767.23

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Solution

The fourth proportional to 75,301.23, 103,914.09 and 41,767.23 is: 57,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,301.23 : 103,914.09 = 41,767.23 : x
  2. Step 2: Convert to fraction form
    75,301.23/103,914.09 = 41,767.23/x
  3. Step 3: Cross multiply
    75,301.23x = 103,914.09 × 41,767.23
  4. Step 4: Simplify right side
    75,301.23x = 4,340,203,697.27
  5. Step 5: Solve for x
    x = 4,340,203,697.27/75,301.23
  6. Step 6: Final answer
    x = 57,637.89

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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.