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Finding the Fourth Proportional to 31,858.64, 43,964.04 and 17,710.48

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Solution

The fourth proportional to 31,858.64, 43,964.04 and 17,710.48 is: 24,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.64 : 43,964.04 = 17,710.48 : x
  2. Step 2: Convert to fraction form
    31,858.64/43,964.04 = 17,710.48/x
  3. Step 3: Cross multiply
    31,858.64x = 43,964.04 × 17,710.48
  4. Step 4: Simplify right side
    31,858.64x = 778,624,251.14
  5. Step 5: Solve for x
    x = 778,624,251.14/31,858.64
  6. Step 6: Final answer
    x = 24,439.97

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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.