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Finding the Fourth Proportional to 75,253.44, 103,854.42 and 41,719.44

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Solution

The fourth proportional to 75,253.44, 103,854.42 and 41,719.44 is: 57,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253.44 : 103,854.42 = 41,719.44 : x
  2. Step 2: Convert to fraction form
    75,253.44/103,854.42 = 41,719.44/x
  3. Step 3: Cross multiply
    75,253.44x = 103,854.42 × 41,719.44
  4. Step 4: Simplify right side
    75,253.44x = 4,332,748,243.92
  5. Step 5: Solve for x
    x = 4,332,748,243.92/75,253.44
  6. Step 6: Final answer
    x = 57,575.42

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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.