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Finding the Fourth Proportional to 33,830.70, 50,758.20 and 14,115.30

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Solution

The fourth proportional to 33,830.70, 50,758.20 and 14,115.30 is: 21,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.70 : 50,758.20 = 14,115.30 : x
  2. Step 2: Convert to fraction form
    33,830.70/50,758.20 = 14,115.30/x
  3. Step 3: Cross multiply
    33,830.70x = 50,758.20 × 14,115.30
  4. Step 4: Simplify right side
    33,830.70x = 716,467,220.46
  5. Step 5: Solve for x
    x = 716,467,220.46/33,830.70
  6. Step 6: Final answer
    x = 21,178.02

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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.