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Finding the Fourth Proportional to 45,402.60, 68,104.21 and 15,821

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Solution

The fourth proportional to 45,402.60, 68,104.21 and 15,821 is: 23,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402.60 : 68,104.21 = 15,821 : x
  2. Step 2: Convert to fraction form
    45,402.60/68,104.21 = 15,821/x
  3. Step 3: Cross multiply
    45,402.60x = 68,104.21 × 15,821
  4. Step 4: Simplify right side
    45,402.60x = 1,077,476,706.41
  5. Step 5: Solve for x
    x = 1,077,476,706.41/45,402.60
  6. Step 6: Final answer
    x = 23,731.61

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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.