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Finding the Fourth Proportional to 31,335.62, 46,989.59 and 14,682.20

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Solution

The fourth proportional to 31,335.62, 46,989.59 and 14,682.20 is: 22,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.62 : 46,989.59 = 14,682.20 : x
  2. Step 2: Convert to fraction form
    31,335.62/46,989.59 = 14,682.20/x
  3. Step 3: Cross multiply
    31,335.62x = 46,989.59 × 14,682.20
  4. Step 4: Simplify right side
    31,335.62x = 689,910,249.94
  5. Step 5: Solve for x
    x = 689,910,249.94/31,335.62
  6. Step 6: Final answer
    x = 22,016.81

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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.