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Finding the Fourth Proportional to 42,102.54, 63,163.89 and 14,022.84

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Solution

The fourth proportional to 42,102.54, 63,163.89 and 14,022.84 is: 21,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.54 : 63,163.89 = 14,022.84 : x
  2. Step 2: Convert to fraction form
    42,102.54/63,163.89 = 14,022.84/x
  3. Step 3: Cross multiply
    42,102.54x = 63,163.89 × 14,022.84
  4. Step 4: Simplify right side
    42,102.54x = 885,737,123.25
  5. Step 5: Solve for x
    x = 885,737,123.25/42,102.54
  6. Step 6: Final answer
    x = 21,037.62

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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.