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Finding the Fourth Proportional to 51,680.01, 71,314.04 and 31,269.68

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Solution

The fourth proportional to 51,680.01, 71,314.04 and 31,269.68 is: 43,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,680.01 : 71,314.04 = 31,269.68 : x
  2. Step 2: Convert to fraction form
    51,680.01/71,314.04 = 31,269.68/x
  3. Step 3: Cross multiply
    51,680.01x = 71,314.04 × 31,269.68
  4. Step 4: Simplify right side
    51,680.01x = 2,229,966,697.39
  5. Step 5: Solve for x
    x = 2,229,966,697.39/51,680.01
  6. Step 6: Final answer
    x = 43,149.50

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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.