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Finding the Fourth Proportional to 111,349, 167,049.44 and 37,477

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Solution

The fourth proportional to 111,349, 167,049.44 and 37,477 is: 56,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,349 : 167,049.44 = 37,477 : x
  2. Step 2: Convert to fraction form
    111,349/167,049.44 = 37,477/x
  3. Step 3: Cross multiply
    111,349x = 167,049.44 × 37,477
  4. Step 4: Simplify right side
    111,349x = 6,260,511,862.88
  5. Step 5: Solve for x
    x = 6,260,511,862.88/111,349
  6. Step 6: Final answer
    x = 56,224.23

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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.