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Finding the Fourth Proportional to 111,980.17, 167,966.16 and 27,740.58

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Solution

The fourth proportional to 111,980.17, 167,966.16 and 27,740.58 is: 41,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,980.17 : 167,966.16 = 27,740.58 : x
  2. Step 2: Convert to fraction form
    111,980.17/167,966.16 = 27,740.58/x
  3. Step 3: Cross multiply
    111,980.17x = 167,966.16 × 27,740.58
  4. Step 4: Simplify right side
    111,980.17x = 4,659,477,964.87
  5. Step 5: Solve for x
    x = 4,659,477,964.87/111,980.17
  6. Step 6: Final answer
    x = 41,609.85

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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.