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Finding the Fourth Proportional to 111,784.94, 167,694.10 and 36,913

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Solution

The fourth proportional to 111,784.94, 167,694.10 and 36,913 is: 55,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784.94 : 167,694.10 = 36,913 : x
  2. Step 2: Convert to fraction form
    111,784.94/167,694.10 = 36,913/x
  3. Step 3: Cross multiply
    111,784.94x = 167,694.10 × 36,913
  4. Step 4: Simplify right side
    111,784.94x = 6,190,092,313.30
  5. Step 5: Solve for x
    x = 6,190,092,313.30/111,784.94
  6. Step 6: Final answer
    x = 55,375.01

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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.