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Finding the Fourth Proportional to 51,708.57, 71,364.43 and 31,561.14

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Solution

The fourth proportional to 51,708.57, 71,364.43 and 31,561.14 is: 43,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708.57 : 71,364.43 = 31,561.14 : x
  2. Step 2: Convert to fraction form
    51,708.57/71,364.43 = 31,561.14/x
  3. Step 3: Cross multiply
    51,708.57x = 71,364.43 × 31,561.14
  4. Step 4: Simplify right side
    51,708.57x = 2,252,342,608.44
  5. Step 5: Solve for x
    x = 2,252,342,608.44/51,708.57
  6. Step 6: Final answer
    x = 43,558.40

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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.