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Finding the Fourth Proportional to 51,890.22, 71,613.90 and 31,760.46

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Solution

The fourth proportional to 51,890.22, 71,613.90 and 31,760.46 is: 43,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.22 : 71,613.90 = 31,760.46 : x
  2. Step 2: Convert to fraction form
    51,890.22/71,613.90 = 31,760.46/x
  3. Step 3: Cross multiply
    51,890.22x = 71,613.90 × 31,760.46
  4. Step 4: Simplify right side
    51,890.22x = 2,274,490,406.39
  5. Step 5: Solve for x
    x = 2,274,490,406.39/51,890.22
  6. Step 6: Final answer
    x = 43,832.74

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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.