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Finding the Fourth Proportional to 27,735.78, 38,186.73 and 22,448.10

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Solution

The fourth proportional to 27,735.78, 38,186.73 and 22,448.10 is: 30,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.78 : 38,186.73 = 22,448.10 : x
  2. Step 2: Convert to fraction form
    27,735.78/38,186.73 = 22,448.10/x
  3. Step 3: Cross multiply
    27,735.78x = 38,186.73 × 22,448.10
  4. Step 4: Simplify right side
    27,735.78x = 857,219,533.71
  5. Step 5: Solve for x
    x = 857,219,533.71/27,735.78
  6. Step 6: Final answer
    x = 30,906.63

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