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Finding the Fourth Proportional to 33,817.70, 50,699.06 and 14,110.94

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Solution

The fourth proportional to 33,817.70, 50,699.06 and 14,110.94 is: 21,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,817.70 : 50,699.06 = 14,110.94 : x
  2. Step 2: Convert to fraction form
    33,817.70/50,699.06 = 14,110.94/x
  3. Step 3: Cross multiply
    33,817.70x = 50,699.06 × 14,110.94
  4. Step 4: Simplify right side
    33,817.70x = 715,411,393.72
  5. Step 5: Solve for x
    x = 715,411,393.72/33,817.70
  6. Step 6: Final answer
    x = 21,154.94

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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.