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Finding the Fourth Proportional to 32,874.29, 49,296.86 and 20,393.81

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Solution

The fourth proportional to 32,874.29, 49,296.86 and 20,393.81 is: 30,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.29 : 49,296.86 = 20,393.81 : x
  2. Step 2: Convert to fraction form
    32,874.29/49,296.86 = 20,393.81/x
  3. Step 3: Cross multiply
    32,874.29x = 49,296.86 × 20,393.81
  4. Step 4: Simplify right side
    32,874.29x = 1,005,350,694.47
  5. Step 5: Solve for x
    x = 1,005,350,694.47/32,874.29
  6. Step 6: Final answer
    x = 30,581.67

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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.