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Finding the Fourth Proportional to 75,274.92, 112,956.11 and 33,721.92

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Solution

The fourth proportional to 75,274.92, 112,956.11 and 33,721.92 is: 50,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,274.92 : 112,956.11 = 33,721.92 : x
  2. Step 2: Convert to fraction form
    75,274.92/112,956.11 = 33,721.92/x
  3. Step 3: Cross multiply
    75,274.92x = 112,956.11 × 33,721.92
  4. Step 4: Simplify right side
    75,274.92x = 3,809,096,736.32
  5. Step 5: Solve for x
    x = 3,809,096,736.32/75,274.92
  6. Step 6: Final answer
    x = 50,602.47

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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.