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Finding the Fourth Proportional to 31,606.25, 43,616.96 and 17,459.09

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Solution

The fourth proportional to 31,606.25, 43,616.96 and 17,459.09 is: 24,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.25 : 43,616.96 = 17,459.09 : x
  2. Step 2: Convert to fraction form
    31,606.25/43,616.96 = 17,459.09/x
  3. Step 3: Cross multiply
    31,606.25x = 43,616.96 × 17,459.09
  4. Step 4: Simplify right side
    31,606.25x = 761,512,697.37
  5. Step 5: Solve for x
    x = 761,512,697.37/31,606.25
  6. Step 6: Final answer
    x = 24,093.74

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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.