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Finding the Fourth Proportional to 32,949.66, 49,424.04 and 7,989.92

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Solution

The fourth proportional to 32,949.66, 49,424.04 and 7,989.92 is: 11,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.66 : 49,424.04 = 7,989.92 : x
  2. Step 2: Convert to fraction form
    32,949.66/49,424.04 = 7,989.92/x
  3. Step 3: Cross multiply
    32,949.66x = 49,424.04 × 7,989.92
  4. Step 4: Simplify right side
    32,949.66x = 394,894,125.68
  5. Step 5: Solve for x
    x = 394,894,125.68/32,949.66
  6. Step 6: Final answer
    x = 11,984.77

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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.