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Finding the Fourth Proportional to 31,801.83, 43,886.34 and 17,654.64

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Solution

The fourth proportional to 31,801.83, 43,886.34 and 17,654.64 is: 24,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.83 : 43,886.34 = 17,654.64 : x
  2. Step 2: Convert to fraction form
    31,801.83/43,886.34 = 17,654.64/x
  3. Step 3: Cross multiply
    31,801.83x = 43,886.34 × 17,654.64
  4. Step 4: Simplify right side
    31,801.83x = 774,797,533.62
  5. Step 5: Solve for x
    x = 774,797,533.62/31,801.83
  6. Step 6: Final answer
    x = 24,363.30

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