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Finding the Fourth Proportional to 75,324.96, 113,005.71 and 22,731.30

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Solution

The fourth proportional to 75,324.96, 113,005.71 and 22,731.30 is: 34,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324.96 : 113,005.71 = 22,731.30 : x
  2. Step 2: Convert to fraction form
    75,324.96/113,005.71 = 22,731.30/x
  3. Step 3: Cross multiply
    75,324.96x = 113,005.71 × 22,731.30
  4. Step 4: Simplify right side
    75,324.96x = 2,568,766,695.72
  5. Step 5: Solve for x
    x = 2,568,766,695.72/75,324.96
  6. Step 6: Final answer
    x = 34,102.46

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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.