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Finding the Fourth Proportional to 75,874.72, 113,824.44 and 28,493.48

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Solution

The fourth proportional to 75,874.72, 113,824.44 and 28,493.48 is: 42,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.72 : 113,824.44 = 28,493.48 : x
  2. Step 2: Convert to fraction form
    75,874.72/113,824.44 = 28,493.48/x
  3. Step 3: Cross multiply
    75,874.72x = 113,824.44 × 28,493.48
  4. Step 4: Simplify right side
    75,874.72x = 3,243,254,404.65
  5. Step 5: Solve for x
    x = 3,243,254,404.65/75,874.72
  6. Step 6: Final answer
    x = 42,744.86

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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.