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Finding the Fourth Proportional to 111,924.28, 167,904.65 and 33,046.48

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Solution

The fourth proportional to 111,924.28, 167,904.65 and 33,046.48 is: 49,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,924.28 : 167,904.65 = 33,046.48 : x
  2. Step 2: Convert to fraction form
    111,924.28/167,904.65 = 33,046.48/x
  3. Step 3: Cross multiply
    111,924.28x = 167,904.65 × 33,046.48
  4. Step 4: Simplify right side
    111,924.28x = 5,548,657,320.99
  5. Step 5: Solve for x
    x = 5,548,657,320.99/111,924.28
  6. Step 6: Final answer
    x = 49,575.10

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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.