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Finding the Fourth Proportional to 111,646.20, 167,483.82 and 36,774

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Solution

The fourth proportional to 111,646.20, 167,483.82 and 36,774 is: 55,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,646.20 : 167,483.82 = 36,774 : x
  2. Step 2: Convert to fraction form
    111,646.20/167,483.82 = 36,774/x
  3. Step 3: Cross multiply
    111,646.20x = 167,483.82 × 36,774
  4. Step 4: Simplify right side
    111,646.20x = 6,159,049,996.68
  5. Step 5: Solve for x
    x = 6,159,049,996.68/111,646.20
  6. Step 6: Final answer
    x = 55,165.78

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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.