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Finding the Fourth Proportional to 31,354.82, 47,032.05 and 7,662.49

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Solution

The fourth proportional to 31,354.82, 47,032.05 and 7,662.49 is: 11,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.82 : 47,032.05 = 7,662.49 : x
  2. Step 2: Convert to fraction form
    31,354.82/47,032.05 = 7,662.49/x
  3. Step 3: Cross multiply
    31,354.82x = 47,032.05 × 7,662.49
  4. Step 4: Simplify right side
    31,354.82x = 360,382,523.96
  5. Step 5: Solve for x
    x = 360,382,523.96/31,354.82
  6. Step 6: Final answer
    x = 11,493.69

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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.