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Finding the Fourth Proportional to 75,853.77, 113,743.22 and 23,250.57

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Solution

The fourth proportional to 75,853.77, 113,743.22 and 23,250.57 is: 34,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.77 : 113,743.22 = 23,250.57 : x
  2. Step 2: Convert to fraction form
    75,853.77/113,743.22 = 23,250.57/x
  3. Step 3: Cross multiply
    75,853.77x = 113,743.22 × 23,250.57
  4. Step 4: Simplify right side
    75,853.77x = 2,644,594,924.87
  5. Step 5: Solve for x
    x = 2,644,594,924.87/75,853.77
  6. Step 6: Final answer
    x = 34,864.38

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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.