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Finding the Fourth Proportional to 49,973.44, 68,960.64 and 27,616

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Solution

The fourth proportional to 49,973.44, 68,960.64 and 27,616 is: 38,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,973.44 : 68,960.64 = 27,616 : x
  2. Step 2: Convert to fraction form
    49,973.44/68,960.64 = 27,616/x
  3. Step 3: Cross multiply
    49,973.44x = 68,960.64 × 27,616
  4. Step 4: Simplify right side
    49,973.44x = 1,904,417,034.24
  5. Step 5: Solve for x
    x = 1,904,417,034.24/49,973.44
  6. Step 6: Final answer
    x = 38,108.58

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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.