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Finding the Fourth Proportional to 31,857.84, 47,775.24 and 10,794.48

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Solution

The fourth proportional to 31,857.84, 47,775.24 and 10,794.48 is: 16,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.84 : 47,775.24 = 10,794.48 : x
  2. Step 2: Convert to fraction form
    31,857.84/47,775.24 = 10,794.48/x
  3. Step 3: Cross multiply
    31,857.84x = 47,775.24 × 10,794.48
  4. Step 4: Simplify right side
    31,857.84x = 515,708,872.68
  5. Step 5: Solve for x
    x = 515,708,872.68/31,857.84
  6. Step 6: Final answer
    x = 16,187.82

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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.