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Finding the Fourth Proportional to 33,820.31, 50,730.47 and 19,039.84

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Solution

The fourth proportional to 33,820.31, 50,730.47 and 19,039.84 is: 28,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.31 : 50,730.47 = 19,039.84 : x
  2. Step 2: Convert to fraction form
    33,820.31/50,730.47 = 19,039.84/x
  3. Step 3: Cross multiply
    33,820.31x = 50,730.47 × 19,039.84
  4. Step 4: Simplify right side
    33,820.31x = 965,900,031.92
  5. Step 5: Solve for x
    x = 965,900,031.92/33,820.31
  6. Step 6: Final answer
    x = 28,559.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.