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Finding the Fourth Proportional to 114,782.68, 172,187.11 and 30,546.32

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Solution

The fourth proportional to 114,782.68, 172,187.11 and 30,546.32 is: 45,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782.68 : 172,187.11 = 30,546.32 : x
  2. Step 2: Convert to fraction form
    114,782.68/172,187.11 = 30,546.32/x
  3. Step 3: Cross multiply
    114,782.68x = 172,187.11 × 30,546.32
  4. Step 4: Simplify right side
    114,782.68x = 5,259,682,561.94
  5. Step 5: Solve for x
    x = 5,259,682,561.94/114,782.68
  6. Step 6: Final answer
    x = 45,822.97

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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.