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Finding the Fourth Proportional to 75,414.23, 103,998.40 and 50,938.87

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Solution

The fourth proportional to 75,414.23, 103,998.40 and 50,938.87 is: 70,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,414.23 : 103,998.40 = 50,938.87 : x
  2. Step 2: Convert to fraction form
    75,414.23/103,998.40 = 50,938.87/x
  3. Step 3: Cross multiply
    75,414.23x = 103,998.40 × 50,938.87
  4. Step 4: Simplify right side
    75,414.23x = 5,297,560,203.12
  5. Step 5: Solve for x
    x = 5,297,560,203.12/75,414.23
  6. Step 6: Final answer
    x = 70,246.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.