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Finding the Fourth Proportional to 49,252.91, 73,947.80 and 34,224.63

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Solution

The fourth proportional to 49,252.91, 73,947.80 and 34,224.63 is: 51,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,252.91 : 73,947.80 = 34,224.63 : x
  2. Step 2: Convert to fraction form
    49,252.91/73,947.80 = 34,224.63/x
  3. Step 3: Cross multiply
    49,252.91x = 73,947.80 × 34,224.63
  4. Step 4: Simplify right side
    49,252.91x = 2,530,835,923.19
  5. Step 5: Solve for x
    x = 2,530,835,923.19/49,252.91
  6. Step 6: Final answer
    x = 51,384.49

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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.