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Finding the Fourth Proportional to 31,636.53, 47,453.60 and 7,944.23

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Solution

The fourth proportional to 31,636.53, 47,453.60 and 7,944.23 is: 11,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636.53 : 47,453.60 = 7,944.23 : x
  2. Step 2: Convert to fraction form
    31,636.53/47,453.60 = 7,944.23/x
  3. Step 3: Cross multiply
    31,636.53x = 47,453.60 × 7,944.23
  4. Step 4: Simplify right side
    31,636.53x = 376,982,451.22
  5. Step 5: Solve for x
    x = 376,982,451.22/31,636.53
  6. Step 6: Final answer
    x = 11,916.05

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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.