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Finding the Fourth Proportional to 75,785.52, 113,678.28 and 33,655.70

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Solution

The fourth proportional to 75,785.52, 113,678.28 and 33,655.70 is: 50,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,785.52 : 113,678.28 = 33,655.70 : x
  2. Step 2: Convert to fraction form
    75,785.52/113,678.28 = 33,655.70/x
  3. Step 3: Cross multiply
    75,785.52x = 113,678.28 × 33,655.70
  4. Step 4: Simplify right side
    75,785.52x = 3,825,921,519.80
  5. Step 5: Solve for x
    x = 3,825,921,519.80/75,785.52
  6. Step 6: Final answer
    x = 50,483.54

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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.