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Finding the Fourth Proportional to 34,447.68, 51,662.07 and 9,481.86

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Solution

The fourth proportional to 34,447.68, 51,662.07 and 9,481.86 is: 14,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,447.68 : 51,662.07 = 9,481.86 : x
  2. Step 2: Convert to fraction form
    34,447.68/51,662.07 = 9,481.86/x
  3. Step 3: Cross multiply
    34,447.68x = 51,662.07 × 9,481.86
  4. Step 4: Simplify right side
    34,447.68x = 489,852,515.05
  5. Step 5: Solve for x
    x = 489,852,515.05/34,447.68
  6. Step 6: Final answer
    x = 14,220.19

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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.