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Finding the Fourth Proportional to 111,516, 167,299.92 and 37,644

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Solution

The fourth proportional to 111,516, 167,299.92 and 37,644 is: 56,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,516 : 167,299.92 = 37,644 : x
  2. Step 2: Convert to fraction form
    111,516/167,299.92 = 37,644/x
  3. Step 3: Cross multiply
    111,516x = 167,299.92 × 37,644
  4. Step 4: Simplify right side
    111,516x = 6,297,838,188.48
  5. Step 5: Solve for x
    x = 6,297,838,188.48/111,516
  6. Step 6: Final answer
    x = 56,474.75

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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.