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Finding the Fourth Proportional to 51,717.60, 71,369.84 and 31,570.24

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Solution

The fourth proportional to 51,717.60, 71,369.84 and 31,570.24 is: 43,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,717.60 : 71,369.84 = 31,570.24 : x
  2. Step 2: Convert to fraction form
    51,717.60/71,369.84 = 31,570.24/x
  3. Step 3: Cross multiply
    51,717.60x = 71,369.84 × 31,570.24
  4. Step 4: Simplify right side
    51,717.60x = 2,253,162,977.56
  5. Step 5: Solve for x
    x = 2,253,162,977.56/51,717.60
  6. Step 6: Final answer
    x = 43,566.66

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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.