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Finding the Fourth Proportional to 31,620.26, 47,438.59 and 16,817

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Solution

The fourth proportional to 31,620.26, 47,438.59 and 16,817 is: 25,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620.26 : 47,438.59 = 16,817 : x
  2. Step 2: Convert to fraction form
    31,620.26/47,438.59 = 16,817/x
  3. Step 3: Cross multiply
    31,620.26x = 47,438.59 × 16,817
  4. Step 4: Simplify right side
    31,620.26x = 797,774,768.03
  5. Step 5: Solve for x
    x = 797,774,768.03/31,620.26
  6. Step 6: Final answer
    x = 25,229.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.