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Finding the Fourth Proportional to 31,794.68, 47,699.61 and 9,608.27

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Solution

The fourth proportional to 31,794.68, 47,699.61 and 9,608.27 is: 14,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.68 : 47,699.61 = 9,608.27 : x
  2. Step 2: Convert to fraction form
    31,794.68/47,699.61 = 9,608.27/x
  3. Step 3: Cross multiply
    31,794.68x = 47,699.61 × 9,608.27
  4. Step 4: Simplify right side
    31,794.68x = 458,310,851.02
  5. Step 5: Solve for x
    x = 458,310,851.02/31,794.68
  6. Step 6: Final answer
    x = 14,414.70

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1.5x scale

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.