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Finding the Fourth Proportional to 111,318.76, 166,995.42 and 37,441

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Solution

The fourth proportional to 111,318.76, 166,995.42 and 37,441 is: 56,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,318.76 : 166,995.42 = 37,441 : x
  2. Step 2: Convert to fraction form
    111,318.76/166,995.42 = 37,441/x
  3. Step 3: Cross multiply
    111,318.76x = 166,995.42 × 37,441
  4. Step 4: Simplify right side
    111,318.76x = 6,252,475,520.22
  5. Step 5: Solve for x
    x = 6,252,475,520.22/111,318.76
  6. Step 6: Final answer
    x = 56,167.31

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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.