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Finding the Fourth Proportional to 49,612, 68,468.94 and 27,260.32

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Solution

The fourth proportional to 49,612, 68,468.94 and 27,260.32 is: 37,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612 : 68,468.94 = 27,260.32 : x
  2. Step 2: Convert to fraction form
    49,612/68,468.94 = 27,260.32/x
  3. Step 3: Cross multiply
    49,612x = 68,468.94 × 27,260.32
  4. Step 4: Simplify right side
    49,612x = 1,866,485,214.46
  5. Step 5: Solve for x
    x = 1,866,485,214.46/49,612
  6. Step 6: Final answer
    x = 37,621.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.