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Finding the Fourth Proportional to 31,369.89, 47,070.96 and 20,847.18

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Solution

The fourth proportional to 31,369.89, 47,070.96 and 20,847.18 is: 31,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369.89 : 47,070.96 = 20,847.18 : x
  2. Step 2: Convert to fraction form
    31,369.89/47,070.96 = 20,847.18/x
  3. Step 3: Cross multiply
    31,369.89x = 47,070.96 × 20,847.18
  4. Step 4: Simplify right side
    31,369.89x = 981,296,775.89
  5. Step 5: Solve for x
    x = 981,296,775.89/31,369.89
  6. Step 6: Final answer
    x = 31,281.49

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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.