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Finding the Fourth Proportional to 76,443.44, 114,661.10 and 23,846.90

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Solution

The fourth proportional to 76,443.44, 114,661.10 and 23,846.90 is: 35,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.44 : 114,661.10 = 23,846.90 : x
  2. Step 2: Convert to fraction form
    76,443.44/114,661.10 = 23,846.90/x
  3. Step 3: Cross multiply
    76,443.44x = 114,661.10 × 23,846.90
  4. Step 4: Simplify right side
    76,443.44x = 2,734,311,093.05
  5. Step 5: Solve for x
    x = 2,734,311,093.05/76,443.44
  6. Step 6: Final answer
    x = 35,769.08

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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.