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Finding the Fourth Proportional to 111,642.20, 167,477.82 and 36,770

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Solution

The fourth proportional to 111,642.20, 167,477.82 and 36,770 is: 55,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,642.20 : 167,477.82 = 36,770 : x
  2. Step 2: Convert to fraction form
    111,642.20/167,477.82 = 36,770/x
  3. Step 3: Cross multiply
    111,642.20x = 167,477.82 × 36,770
  4. Step 4: Simplify right side
    111,642.20x = 6,158,159,441.40
  5. Step 5: Solve for x
    x = 6,158,159,441.40/111,642.20
  6. Step 6: Final answer
    x = 55,159.78

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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.