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Finding the Fourth Proportional to 31,245.44, 43,113.60 and 17,817

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Solution

The fourth proportional to 31,245.44, 43,113.60 and 17,817 is: 24,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.44 : 43,113.60 = 17,817 : x
  2. Step 2: Convert to fraction form
    31,245.44/43,113.60 = 17,817/x
  3. Step 3: Cross multiply
    31,245.44x = 43,113.60 × 17,817
  4. Step 4: Simplify right side
    31,245.44x = 768,155,011.20
  5. Step 5: Solve for x
    x = 768,155,011.20/31,245.44
  6. Step 6: Final answer
    x = 24,584.55

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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.