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Finding the Fourth Proportional to 32,676.92, 49,010.73 and 10,487.43

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Solution

The fourth proportional to 32,676.92, 49,010.73 and 10,487.43 is: 15,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.92 : 49,010.73 = 10,487.43 : x
  2. Step 2: Convert to fraction form
    32,676.92/49,010.73 = 10,487.43/x
  3. Step 3: Cross multiply
    32,676.92x = 49,010.73 × 10,487.43
  4. Step 4: Simplify right side
    32,676.92x = 513,996,600.12
  5. Step 5: Solve for x
    x = 513,996,600.12/32,676.92
  6. Step 6: Final answer
    x = 15,729.66

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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.