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Finding the Fourth Proportional to 31,098.46, 46,649.31 and 8,909.73

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Solution

The fourth proportional to 31,098.46, 46,649.31 and 8,909.73 is: 13,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.46 : 46,649.31 = 8,909.73 : x
  2. Step 2: Convert to fraction form
    31,098.46/46,649.31 = 8,909.73/x
  3. Step 3: Cross multiply
    31,098.46x = 46,649.31 × 8,909.73
  4. Step 4: Simplify right side
    31,098.46x = 415,632,756.79
  5. Step 5: Solve for x
    x = 415,632,756.79/31,098.46
  6. Step 6: Final answer
    x = 13,365.06

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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.