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Finding the Fourth Proportional to 33,082.40, 49,587.96 and 13,350.80

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Solution

The fourth proportional to 33,082.40, 49,587.96 and 13,350.80 is: 20,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.40 : 49,587.96 = 13,350.80 : x
  2. Step 2: Convert to fraction form
    33,082.40/49,587.96 = 13,350.80/x
  3. Step 3: Cross multiply
    33,082.40x = 49,587.96 × 13,350.80
  4. Step 4: Simplify right side
    33,082.40x = 662,038,936.37
  5. Step 5: Solve for x
    x = 662,038,936.37/33,082.40
  6. Step 6: Final answer
    x = 20,011.82

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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.