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Finding the Fourth Proportional to 31,464.67, 47,205.21 and 11,743.39

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Solution

The fourth proportional to 31,464.67, 47,205.21 and 11,743.39 is: 17,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.67 : 47,205.21 = 11,743.39 : x
  2. Step 2: Convert to fraction form
    31,464.67/47,205.21 = 11,743.39/x
  3. Step 3: Cross multiply
    31,464.67x = 47,205.21 × 11,743.39
  4. Step 4: Simplify right side
    31,464.67x = 554,349,191.06
  5. Step 5: Solve for x
    x = 554,349,191.06/31,464.67
  6. Step 6: Final answer
    x = 17,618.15

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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.