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Finding the Fourth Proportional to 81,333.64, 121,951.02 and 33,891.40

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Solution

The fourth proportional to 81,333.64, 121,951.02 and 33,891.40 is: 50,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,333.64 : 121,951.02 = 33,891.40 : x
  2. Step 2: Convert to fraction form
    81,333.64/121,951.02 = 33,891.40/x
  3. Step 3: Cross multiply
    81,333.64x = 121,951.02 × 33,891.40
  4. Step 4: Simplify right side
    81,333.64x = 4,133,090,799.23
  5. Step 5: Solve for x
    x = 4,133,090,799.23/81,333.64
  6. Step 6: Final answer
    x = 50,816.50

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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.