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Finding the Fourth Proportional to 32,930.40, 49,403.40 and 10,743.92

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Solution

The fourth proportional to 32,930.40, 49,403.40 and 10,743.92 is: 16,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.40 : 49,403.40 = 10,743.92 : x
  2. Step 2: Convert to fraction form
    32,930.40/49,403.40 = 10,743.92/x
  3. Step 3: Cross multiply
    32,930.40x = 49,403.40 × 10,743.92
  4. Step 4: Simplify right side
    32,930.40x = 530,786,177.33
  5. Step 5: Solve for x
    x = 530,786,177.33/32,930.40
  6. Step 6: Final answer
    x = 16,118.42

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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.