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Finding the Fourth Proportional to 30,311.38, 41,831.00 and 16,882.64

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Solution

The fourth proportional to 30,311.38, 41,831.00 and 16,882.64 is: 23,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.38 : 41,831.00 = 16,882.64 : x
  2. Step 2: Convert to fraction form
    30,311.38/41,831.00 = 16,882.64/x
  3. Step 3: Cross multiply
    30,311.38x = 41,831.00 × 16,882.64
  4. Step 4: Simplify right side
    30,311.38x = 706,217,651.47
  5. Step 5: Solve for x
    x = 706,217,651.47/30,311.38
  6. Step 6: Final answer
    x = 23,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.