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Finding the Fourth Proportional to 111,884.40, 167,827.68 and 33,000.12

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Solution

The fourth proportional to 111,884.40, 167,827.68 and 33,000.12 is: 49,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,884.40 : 167,827.68 = 33,000.12 : x
  2. Step 2: Convert to fraction form
    111,884.40/167,827.68 = 33,000.12/x
  3. Step 3: Cross multiply
    111,884.40x = 167,827.68 × 33,000.12
  4. Step 4: Simplify right side
    111,884.40x = 5,538,333,579.32
  5. Step 5: Solve for x
    x = 5,538,333,579.32/111,884.40
  6. Step 6: Final answer
    x = 49,500.50

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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.