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Finding the Fourth Proportional to 75,708.22, 113,509.28 and 33,565.54

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Solution

The fourth proportional to 75,708.22, 113,509.28 and 33,565.54 is: 50,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708.22 : 113,509.28 = 33,565.54 : x
  2. Step 2: Convert to fraction form
    75,708.22/113,509.28 = 33,565.54/x
  3. Step 3: Cross multiply
    75,708.22x = 113,509.28 × 33,565.54
  4. Step 4: Simplify right side
    75,708.22x = 3,810,000,278.21
  5. Step 5: Solve for x
    x = 3,810,000,278.21/75,708.22
  6. Step 6: Final answer
    x = 50,324.79

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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.