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Finding the Fourth Proportional to 31,462.98, 43,418.40 and 18,033.90

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Solution

The fourth proportional to 31,462.98, 43,418.40 and 18,033.90 is: 24,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.98 : 43,418.40 = 18,033.90 : x
  2. Step 2: Convert to fraction form
    31,462.98/43,418.40 = 18,033.90/x
  3. Step 3: Cross multiply
    31,462.98x = 43,418.40 × 18,033.90
  4. Step 4: Simplify right side
    31,462.98x = 783,003,083.76
  5. Step 5: Solve for x
    x = 783,003,083.76/31,462.98
  6. Step 6: Final answer
    x = 24,886.49

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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.