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Finding the Fourth Proportional to 31,801.57, 47,703.11 and 9,614.86

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Solution

The fourth proportional to 31,801.57, 47,703.11 and 9,614.86 is: 14,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.57 : 47,703.11 = 9,614.86 : x
  2. Step 2: Convert to fraction form
    31,801.57/47,703.11 = 9,614.86/x
  3. Step 3: Cross multiply
    31,801.57x = 47,703.11 × 9,614.86
  4. Step 4: Simplify right side
    31,801.57x = 458,658,556.88
  5. Step 5: Solve for x
    x = 458,658,556.88/31,801.57
  6. Step 6: Final answer
    x = 14,422.51

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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.