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Finding the Fourth Proportional to 35,833.68, 49,450.92 and 22,413

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Solution

The fourth proportional to 35,833.68, 49,450.92 and 22,413 is: 30,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.68 : 49,450.92 = 22,413 : x
  2. Step 2: Convert to fraction form
    35,833.68/49,450.92 = 22,413/x
  3. Step 3: Cross multiply
    35,833.68x = 49,450.92 × 22,413
  4. Step 4: Simplify right side
    35,833.68x = 1,108,343,469.96
  5. Step 5: Solve for x
    x = 1,108,343,469.96/35,833.68
  6. Step 6: Final answer
    x = 30,930.22

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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.