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Finding the Fourth Proportional to 74,195.76, 102,395.17 and 41,919.18

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Solution

The fourth proportional to 74,195.76, 102,395.17 and 41,919.18 is: 57,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,195.76 : 102,395.17 = 41,919.18 : x
  2. Step 2: Convert to fraction form
    74,195.76/102,395.17 = 41,919.18/x
  3. Step 3: Cross multiply
    74,195.76x = 102,395.17 × 41,919.18
  4. Step 4: Simplify right side
    74,195.76x = 4,292,321,562.36
  5. Step 5: Solve for x
    x = 4,292,321,562.36/74,195.76
  6. Step 6: Final answer
    x = 57,851.31

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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.