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Finding the Fourth Proportional to 189,346.50, 284,021.91 and 49,096.62

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Solution

The fourth proportional to 189,346.50, 284,021.91 and 49,096.62 is: 73,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,346.50 : 284,021.91 = 49,096.62 : x
  2. Step 2: Convert to fraction form
    189,346.50/284,021.91 = 49,096.62/x
  3. Step 3: Cross multiply
    189,346.50x = 284,021.91 × 49,096.62
  4. Step 4: Simplify right side
    189,346.50x = 13,944,515,786.94
  5. Step 5: Solve for x
    x = 13,944,515,786.94/189,346.50
  6. Step 6: Final answer
    x = 73,645.49

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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.