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Finding the Fourth Proportional to 31,791.64, 43,873.14 and 17,644

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Solution

The fourth proportional to 31,791.64, 43,873.14 and 17,644 is: 24,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.64 : 43,873.14 = 17,644 : x
  2. Step 2: Convert to fraction form
    31,791.64/43,873.14 = 17,644/x
  3. Step 3: Cross multiply
    31,791.64x = 43,873.14 × 17,644
  4. Step 4: Simplify right side
    31,791.64x = 774,097,682.16
  5. Step 5: Solve for x
    x = 774,097,682.16/31,791.64
  6. Step 6: Final answer
    x = 24,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.