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Finding the Fourth Proportional to 189,630.58, 284,462.44 and 49,388.98

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Solution

The fourth proportional to 189,630.58, 284,462.44 and 49,388.98 is: 74,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,630.58 : 284,462.44 = 49,388.98 : x
  2. Step 2: Convert to fraction form
    189,630.58/284,462.44 = 49,388.98/x
  3. Step 3: Cross multiply
    189,630.58x = 284,462.44 × 49,388.98
  4. Step 4: Simplify right side
    189,630.58x = 14,049,309,759.91
  5. Step 5: Solve for x
    x = 14,049,309,759.91/189,630.58
  6. Step 6: Final answer
    x = 74,087.79

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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.