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Finding the Fourth Proportional to 32,991.65, 49,486.77 and 8,031.83

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Solution

The fourth proportional to 32,991.65, 49,486.77 and 8,031.83 is: 12,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.65 : 49,486.77 = 8,031.83 : x
  2. Step 2: Convert to fraction form
    32,991.65/49,486.77 = 8,031.83/x
  3. Step 3: Cross multiply
    32,991.65x = 49,486.77 × 8,031.83
  4. Step 4: Simplify right side
    32,991.65x = 397,469,323.89
  5. Step 5: Solve for x
    x = 397,469,323.89/32,991.65
  6. Step 6: Final answer
    x = 12,047.57

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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.