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Finding the Fourth Proportional to 32,963.88, 49,449.06 and 14,249.64

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Solution

The fourth proportional to 32,963.88, 49,449.06 and 14,249.64 is: 21,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.88 : 49,449.06 = 14,249.64 : x
  2. Step 2: Convert to fraction form
    32,963.88/49,449.06 = 14,249.64/x
  3. Step 3: Cross multiply
    32,963.88x = 49,449.06 × 14,249.64
  4. Step 4: Simplify right side
    32,963.88x = 704,631,303.34
  5. Step 5: Solve for x
    x = 704,631,303.34/32,963.88
  6. Step 6: Final answer
    x = 21,375.86

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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.