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Finding the Fourth Proportional to 32,976, 49,462.38 and 10,786.68

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Solution

The fourth proportional to 32,976, 49,462.38 and 10,786.68 is: 16,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 49,462.38 = 10,786.68 : x
  2. Step 2: Convert to fraction form
    32,976/49,462.38 = 10,786.68/x
  3. Step 3: Cross multiply
    32,976x = 49,462.38 × 10,786.68
  4. Step 4: Simplify right side
    32,976x = 533,534,865.10
  5. Step 5: Solve for x
    x = 533,534,865.10/32,976
  6. Step 6: Final answer
    x = 16,179.49

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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.