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Finding the Fourth Proportional to 31,742.69, 47,613.60 and 7,727.09

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Solution

The fourth proportional to 31,742.69, 47,613.60 and 7,727.09 is: 11,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.69 : 47,613.60 = 7,727.09 : x
  2. Step 2: Convert to fraction form
    31,742.69/47,613.60 = 7,727.09/x
  3. Step 3: Cross multiply
    31,742.69x = 47,613.60 × 7,727.09
  4. Step 4: Simplify right side
    31,742.69x = 367,914,334.36
  5. Step 5: Solve for x
    x = 367,914,334.36/31,742.69
  6. Step 6: Final answer
    x = 11,590.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.