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Finding the Fourth Proportional to 111,392.97, 167,099.28 and 31,431.63

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Solution

The fourth proportional to 111,392.97, 167,099.28 and 31,431.63 is: 47,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,392.97 : 167,099.28 = 31,431.63 : x
  2. Step 2: Convert to fraction form
    111,392.97/167,099.28 = 31,431.63/x
  3. Step 3: Cross multiply
    111,392.97x = 167,099.28 × 31,431.63
  4. Step 4: Simplify right side
    111,392.97x = 5,252,202,742.23
  5. Step 5: Solve for x
    x = 5,252,202,742.23/111,392.97
  6. Step 6: Final answer
    x = 47,150.22

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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.