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Finding the Fourth Proportional to 31,166.64, 43,005.60 and 17,733.60

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Solution

The fourth proportional to 31,166.64, 43,005.60 and 17,733.60 is: 24,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.64 : 43,005.60 = 17,733.60 : x
  2. Step 2: Convert to fraction form
    31,166.64/43,005.60 = 17,733.60/x
  3. Step 3: Cross multiply
    31,166.64x = 43,005.60 × 17,733.60
  4. Step 4: Simplify right side
    31,166.64x = 762,644,108.16
  5. Step 5: Solve for x
    x = 762,644,108.16/31,166.64
  6. Step 6: Final answer
    x = 24,469.89

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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.