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Finding the Fourth Proportional to 75,719.61, 113,524.74 and 23,100.39

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Solution

The fourth proportional to 75,719.61, 113,524.74 and 23,100.39 is: 34,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,719.61 : 113,524.74 = 23,100.39 : x
  2. Step 2: Convert to fraction form
    75,719.61/113,524.74 = 23,100.39/x
  3. Step 3: Cross multiply
    75,719.61x = 113,524.74 × 23,100.39
  4. Step 4: Simplify right side
    75,719.61x = 2,622,465,768.65
  5. Step 5: Solve for x
    x = 2,622,465,768.65/75,719.61
  6. Step 6: Final answer
    x = 34,633.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.