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Finding the Fourth Proportional to 74,195.80, 102,395.22 and 41,919.22

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Solution

The fourth proportional to 74,195.80, 102,395.22 and 41,919.22 is: 57,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,195.80 : 102,395.22 = 41,919.22 : x
  2. Step 2: Convert to fraction form
    74,195.80/102,395.22 = 41,919.22/x
  3. Step 3: Cross multiply
    74,195.80x = 102,395.22 × 41,919.22
  4. Step 4: Simplify right side
    74,195.80x = 4,292,327,498.14
  5. Step 5: Solve for x
    x = 4,292,327,498.14/74,195.80
  6. Step 6: Final answer
    x = 57,851.36

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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.