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Finding the Fourth Proportional to 101,093.78, 151,669.84 and 30,983.42

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Solution

The fourth proportional to 101,093.78, 151,669.84 and 30,983.42 is: 46,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,093.78 : 151,669.84 = 30,983.42 : x
  2. Step 2: Convert to fraction form
    101,093.78/151,669.84 = 30,983.42/x
  3. Step 3: Cross multiply
    101,093.78x = 151,669.84 × 30,983.42
  4. Step 4: Simplify right side
    101,093.78x = 4,699,250,354.05
  5. Step 5: Solve for x
    x = 4,699,250,354.05/101,093.78
  6. Step 6: Final answer
    x = 46,484.07

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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.