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Finding the Fourth Proportional to 33,082.49, 49,595.84 and 14,348.42

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Solution

The fourth proportional to 33,082.49, 49,595.84 and 14,348.42 is: 21,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.49 : 49,595.84 = 14,348.42 : x
  2. Step 2: Convert to fraction form
    33,082.49/49,595.84 = 14,348.42/x
  3. Step 3: Cross multiply
    33,082.49x = 49,595.84 × 14,348.42
  4. Step 4: Simplify right side
    33,082.49x = 711,621,943.35
  5. Step 5: Solve for x
    x = 711,621,943.35/33,082.49
  6. Step 6: Final answer
    x = 21,510.53

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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.