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Finding the Fourth Proportional to 31,459.44, 43,410.42 and 18,027

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Solution

The fourth proportional to 31,459.44, 43,410.42 and 18,027 is: 24,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.44 : 43,410.42 = 18,027 : x
  2. Step 2: Convert to fraction form
    31,459.44/43,410.42 = 18,027/x
  3. Step 3: Cross multiply
    31,459.44x = 43,410.42 × 18,027
  4. Step 4: Simplify right side
    31,459.44x = 782,559,641.34
  5. Step 5: Solve for x
    x = 782,559,641.34/31,459.44
  6. Step 6: Final answer
    x = 24,875.19

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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.