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Finding the Fourth Proportional to 111,770.34, 167,663.67 and 36,887.46

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Solution

The fourth proportional to 111,770.34, 167,663.67 and 36,887.46 is: 55,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,770.34 : 167,663.67 = 36,887.46 : x
  2. Step 2: Convert to fraction form
    111,770.34/167,663.67 = 36,887.46/x
  3. Step 3: Cross multiply
    111,770.34x = 167,663.67 × 36,887.46
  4. Step 4: Simplify right side
    111,770.34x = 6,184,686,920.58
  5. Step 5: Solve for x
    x = 6,184,686,920.58/111,770.34
  6. Step 6: Final answer
    x = 55,333.88

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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.