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Finding the Fourth Proportional to 31,850.03, 47,782.41 and 9,361.05

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Solution

The fourth proportional to 31,850.03, 47,782.41 and 9,361.05 is: 14,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.03 : 47,782.41 = 9,361.05 : x
  2. Step 2: Convert to fraction form
    31,850.03/47,782.41 = 9,361.05/x
  3. Step 3: Cross multiply
    31,850.03x = 47,782.41 × 9,361.05
  4. Step 4: Simplify right side
    31,850.03x = 447,293,529.13
  5. Step 5: Solve for x
    x = 447,293,529.13/31,850.03
  6. Step 6: Final answer
    x = 14,043.74

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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.