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Finding the Fourth Proportional to 31,610.37, 43,623.19 and 17,464.12

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Solution

The fourth proportional to 31,610.37, 43,623.19 and 17,464.12 is: 24,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.37 : 43,623.19 = 17,464.12 : x
  2. Step 2: Convert to fraction form
    31,610.37/43,623.19 = 17,464.12/x
  3. Step 3: Cross multiply
    31,610.37x = 43,623.19 × 17,464.12
  4. Step 4: Simplify right side
    31,610.37x = 761,840,635.81
  5. Step 5: Solve for x
    x = 761,840,635.81/31,610.37
  6. Step 6: Final answer
    x = 24,100.97

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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.