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Finding the Fourth Proportional to 42,286.92, 63,415.08 and 14,198.58

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Solution

The fourth proportional to 42,286.92, 63,415.08 and 14,198.58 is: 21,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.92 : 63,415.08 = 14,198.58 : x
  2. Step 2: Convert to fraction form
    42,286.92/63,415.08 = 14,198.58/x
  3. Step 3: Cross multiply
    42,286.92x = 63,415.08 × 14,198.58
  4. Step 4: Simplify right side
    42,286.92x = 900,404,086.59
  5. Step 5: Solve for x
    x = 900,404,086.59/42,286.92
  6. Step 6: Final answer
    x = 21,292.73

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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.