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Finding the Fourth Proportional to 41,427.84, 62,133.06 and 13,350.42

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Solution

The fourth proportional to 41,427.84, 62,133.06 and 13,350.42 is: 20,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,427.84 : 62,133.06 = 13,350.42 : x
  2. Step 2: Convert to fraction form
    41,427.84/62,133.06 = 13,350.42/x
  3. Step 3: Cross multiply
    41,427.84x = 62,133.06 × 13,350.42
  4. Step 4: Simplify right side
    41,427.84x = 829,502,446.89
  5. Step 5: Solve for x
    x = 829,502,446.89/41,427.84
  6. Step 6: Final answer
    x = 20,022.83

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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.