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Finding the Fourth Proportional to 75,409.56, 113,114.23 and 19,249.69

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Solution

The fourth proportional to 75,409.56, 113,114.23 and 19,249.69 is: 28,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,409.56 : 113,114.23 = 19,249.69 : x
  2. Step 2: Convert to fraction form
    75,409.56/113,114.23 = 19,249.69/x
  3. Step 3: Cross multiply
    75,409.56x = 113,114.23 × 19,249.69
  4. Step 4: Simplify right side
    75,409.56x = 2,177,413,200.27
  5. Step 5: Solve for x
    x = 2,177,413,200.27/75,409.56
  6. Step 6: Final answer
    x = 28,874.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.