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Finding the Fourth Proportional to 31,755.60, 43,821 and 17,610.48

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Solution

The fourth proportional to 31,755.60, 43,821 and 17,610.48 is: 24,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.60 : 43,821 = 17,610.48 : x
  2. Step 2: Convert to fraction form
    31,755.60/43,821 = 17,610.48/x
  3. Step 3: Cross multiply
    31,755.60x = 43,821 × 17,610.48
  4. Step 4: Simplify right side
    31,755.60x = 771,708,844.08
  5. Step 5: Solve for x
    x = 771,708,844.08/31,755.60
  6. Step 6: Final answer
    x = 24,301.50

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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.