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Finding the Fourth Proportional to 51,697.68, 71,323.32 and 31,540.56

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Solution

The fourth proportional to 51,697.68, 71,323.32 and 31,540.56 is: 43,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.68 : 71,323.32 = 31,540.56 : x
  2. Step 2: Convert to fraction form
    51,697.68/71,323.32 = 31,540.56/x
  3. Step 3: Cross multiply
    51,697.68x = 71,323.32 × 31,540.56
  4. Step 4: Simplify right side
    51,697.68x = 2,249,577,453.86
  5. Step 5: Solve for x
    x = 2,249,577,453.86/51,697.68
  6. Step 6: Final answer
    x = 43,514.09

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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.