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Finding the Fourth Proportional to 31,298, 43,191.24 and 18,050

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Solution

The fourth proportional to 31,298, 43,191.24 and 18,050 is: 24,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298 : 43,191.24 = 18,050 : x
  2. Step 2: Convert to fraction form
    31,298/43,191.24 = 18,050/x
  3. Step 3: Cross multiply
    31,298x = 43,191.24 × 18,050
  4. Step 4: Simplify right side
    31,298x = 779,601,882
  5. Step 5: Solve for x
    x = 779,601,882/31,298
  6. Step 6: Final answer
    x = 24,909

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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.