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Finding the Fourth Proportional to 49,192, 67,888.14 and 27,973.24

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Solution

The fourth proportional to 49,192, 67,888.14 and 27,973.24 is: 38,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192 : 67,888.14 = 27,973.24 : x
  2. Step 2: Convert to fraction form
    49,192/67,888.14 = 27,973.24/x
  3. Step 3: Cross multiply
    49,192x = 67,888.14 × 27,973.24
  4. Step 4: Simplify right side
    49,192x = 1,899,051,233.37
  5. Step 5: Solve for x
    x = 1,899,051,233.37/49,192
  6. Step 6: Final answer
    x = 38,604.88

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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.