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Finding the Fourth Proportional to 189,566.28, 284,348.52 and 49,324.68

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Solution

The fourth proportional to 189,566.28, 284,348.52 and 49,324.68 is: 73,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,566.28 : 284,348.52 = 49,324.68 : x
  2. Step 2: Convert to fraction form
    189,566.28/284,348.52 = 49,324.68/x
  3. Step 3: Cross multiply
    189,566.28x = 284,348.52 × 49,324.68
  4. Step 4: Simplify right side
    189,566.28x = 14,025,399,757.47
  5. Step 5: Solve for x
    x = 14,025,399,757.47/189,566.28
  6. Step 6: Final answer
    x = 73,986.79

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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.