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Finding the Fourth Proportional to 31,093.24, 46,641.46 and 8,909.87

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Solution

The fourth proportional to 31,093.24, 46,641.46 and 8,909.87 is: 13,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.24 : 46,641.46 = 8,909.87 : x
  2. Step 2: Convert to fraction form
    31,093.24/46,641.46 = 8,909.87/x
  3. Step 3: Cross multiply
    31,093.24x = 46,641.46 × 8,909.87
  4. Step 4: Simplify right side
    31,093.24x = 415,569,439.54
  5. Step 5: Solve for x
    x = 415,569,439.54/31,093.24
  6. Step 6: Final answer
    x = 13,365.27

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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.