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Finding the Fourth Proportional to 31,860.40, 47,789.22 and 9,673.27

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Solution

The fourth proportional to 31,860.40, 47,789.22 and 9,673.27 is: 14,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.40 : 47,789.22 = 9,673.27 : x
  2. Step 2: Convert to fraction form
    31,860.40/47,789.22 = 9,673.27/x
  3. Step 3: Cross multiply
    31,860.40x = 47,789.22 × 9,673.27
  4. Step 4: Simplify right side
    31,860.40x = 462,278,028.15
  5. Step 5: Solve for x
    x = 462,278,028.15/31,860.40
  6. Step 6: Final answer
    x = 14,509.49

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Why These Related Problems?

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