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Finding the Fourth Proportional to 32,884.64, 49,305.28 and 11,814.12

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Solution

The fourth proportional to 32,884.64, 49,305.28 and 11,814.12 is: 17,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.64 : 49,305.28 = 11,814.12 : x
  2. Step 2: Convert to fraction form
    32,884.64/49,305.28 = 11,814.12/x
  3. Step 3: Cross multiply
    32,884.64x = 49,305.28 × 11,814.12
  4. Step 4: Simplify right side
    32,884.64x = 582,498,494.55
  5. Step 5: Solve for x
    x = 582,498,494.55/32,884.64
  6. Step 6: Final answer
    x = 17,713.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.