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Finding the Fourth Proportional to 33,221.40, 49,831.02 and 13,494.12

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Solution

The fourth proportional to 33,221.40, 49,831.02 and 13,494.12 is: 20,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.40 : 49,831.02 = 13,494.12 : x
  2. Step 2: Convert to fraction form
    33,221.40/49,831.02 = 13,494.12/x
  3. Step 3: Cross multiply
    33,221.40x = 49,831.02 × 13,494.12
  4. Step 4: Simplify right side
    33,221.40x = 672,425,763.60
  5. Step 5: Solve for x
    x = 672,425,763.60/33,221.40
  6. Step 6: Final answer
    x = 20,240.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.