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Finding the Fourth Proportional to 111,057.28, 166,568.64 and 37,168

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Solution

The fourth proportional to 111,057.28, 166,568.64 and 37,168 is: 55,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,057.28 : 166,568.64 = 37,168 : x
  2. Step 2: Convert to fraction form
    111,057.28/166,568.64 = 37,168/x
  3. Step 3: Cross multiply
    111,057.28x = 166,568.64 × 37,168
  4. Step 4: Simplify right side
    111,057.28x = 6,191,023,211.52
  5. Step 5: Solve for x
    x = 6,191,023,211.52/111,057.28
  6. Step 6: Final answer
    x = 55,746.22

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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.