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Finding the Fourth Proportional to 189,697.48, 284,546.24 and 49,455.72

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Solution

The fourth proportional to 189,697.48, 284,546.24 and 49,455.72 is: 74,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,697.48 : 284,546.24 = 49,455.72 : x
  2. Step 2: Convert to fraction form
    189,697.48/284,546.24 = 49,455.72/x
  3. Step 3: Cross multiply
    189,697.48x = 284,546.24 × 49,455.72
  4. Step 4: Simplify right side
    189,697.48x = 14,072,439,172.49
  5. Step 5: Solve for x
    x = 14,072,439,172.49/189,697.48
  6. Step 6: Final answer
    x = 74,183.59

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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.