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Finding the Fourth Proportional to 33,814.98, 50,707.08 and 14,081.76

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Solution

The fourth proportional to 33,814.98, 50,707.08 and 14,081.76 is: 21,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.98 : 50,707.08 = 14,081.76 : x
  2. Step 2: Convert to fraction form
    33,814.98/50,707.08 = 14,081.76/x
  3. Step 3: Cross multiply
    33,814.98x = 50,707.08 × 14,081.76
  4. Step 4: Simplify right side
    33,814.98x = 714,044,930.86
  5. Step 5: Solve for x
    x = 714,044,930.86/33,814.98
  6. Step 6: Final answer
    x = 21,116.23

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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.