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Finding the Fourth Proportional to 75,672.71, 113,456.21 and 33,529.91

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Solution

The fourth proportional to 75,672.71, 113,456.21 and 33,529.91 is: 50,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672.71 : 113,456.21 = 33,529.91 : x
  2. Step 2: Convert to fraction form
    75,672.71/113,456.21 = 33,529.91/x
  3. Step 3: Cross multiply
    75,672.71x = 113,456.21 × 33,529.91
  4. Step 4: Simplify right side
    75,672.71x = 3,804,176,168.61
  5. Step 5: Solve for x
    x = 3,804,176,168.61/75,672.71
  6. Step 6: Final answer
    x = 50,271.44

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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.