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Finding the Fourth Proportional to 48,784.68, 73,092.96 and 32,954.76

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Solution

The fourth proportional to 48,784.68, 73,092.96 and 32,954.76 is: 49,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.68 : 73,092.96 = 32,954.76 : x
  2. Step 2: Convert to fraction form
    48,784.68/73,092.96 = 32,954.76/x
  3. Step 3: Cross multiply
    48,784.68x = 73,092.96 × 32,954.76
  4. Step 4: Simplify right side
    48,784.68x = 2,408,760,954.49
  5. Step 5: Solve for x
    x = 2,408,760,954.49/48,784.68
  6. Step 6: Final answer
    x = 49,375.36

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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.