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Finding the Fourth Proportional to 75,953.19, 113,929.74 and 33,822.39

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Solution

The fourth proportional to 75,953.19, 113,929.74 and 33,822.39 is: 50,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953.19 : 113,929.74 = 33,822.39 : x
  2. Step 2: Convert to fraction form
    75,953.19/113,929.74 = 33,822.39/x
  3. Step 3: Cross multiply
    75,953.19x = 113,929.74 × 33,822.39
  4. Step 4: Simplify right side
    75,953.19x = 3,853,376,098.88
  5. Step 5: Solve for x
    x = 3,853,376,098.88/75,953.19
  6. Step 6: Final answer
    x = 50,733.56

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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.