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Finding the Fourth Proportional to 75,826.36, 113,740 and 33,696.54

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Solution

The fourth proportional to 75,826.36, 113,740 and 33,696.54 is: 50,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826.36 : 113,740 = 33,696.54 : x
  2. Step 2: Convert to fraction form
    75,826.36/113,740 = 33,696.54/x
  3. Step 3: Cross multiply
    75,826.36x = 113,740 × 33,696.54
  4. Step 4: Simplify right side
    75,826.36x = 3,832,644,459.60
  5. Step 5: Solve for x
    x = 3,832,644,459.60/75,826.36
  6. Step 6: Final answer
    x = 50,545.01

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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.