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Finding the Fourth Proportional to 32,833.83, 49,171.83 and 18,751.21

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Solution

The fourth proportional to 32,833.83, 49,171.83 and 18,751.21 is: 28,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.83 : 49,171.83 = 18,751.21 : x
  2. Step 2: Convert to fraction form
    32,833.83/49,171.83 = 18,751.21/x
  3. Step 3: Cross multiply
    32,833.83x = 49,171.83 × 18,751.21
  4. Step 4: Simplify right side
    32,833.83x = 922,031,310.41
  5. Step 5: Solve for x
    x = 922,031,310.41/32,833.83
  6. Step 6: Final answer
    x = 28,081.75

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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.