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Finding the Fourth Proportional to 111,448, 167,197.92 and 37,576

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Solution

The fourth proportional to 111,448, 167,197.92 and 37,576 is: 56,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,448 : 167,197.92 = 37,576 : x
  2. Step 2: Convert to fraction form
    111,448/167,197.92 = 37,576/x
  3. Step 3: Cross multiply
    111,448x = 167,197.92 × 37,576
  4. Step 4: Simplify right side
    111,448x = 6,282,629,041.92
  5. Step 5: Solve for x
    x = 6,282,629,041.92/111,448
  6. Step 6: Final answer
    x = 56,372.74

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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.