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Finding the Fourth Proportional to 101,100.78, 151,674.50 and 30,021.82

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Solution

The fourth proportional to 101,100.78, 151,674.50 and 30,021.82 is: 45,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,100.78 : 151,674.50 = 30,021.82 : x
  2. Step 2: Convert to fraction form
    101,100.78/151,674.50 = 30,021.82/x
  3. Step 3: Cross multiply
    101,100.78x = 151,674.50 × 30,021.82
  4. Step 4: Simplify right side
    101,100.78x = 4,553,544,537.59
  5. Step 5: Solve for x
    x = 4,553,544,537.59/101,100.78
  6. Step 6: Final answer
    x = 45,039.66

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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.