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Finding the Fourth Proportional to 35,665, 49,219.28 and 19,749.48

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Solution

The fourth proportional to 35,665, 49,219.28 and 19,749.48 is: 27,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665 : 49,219.28 = 19,749.48 : x
  2. Step 2: Convert to fraction form
    35,665/49,219.28 = 19,749.48/x
  3. Step 3: Cross multiply
    35,665x = 49,219.28 × 19,749.48
  4. Step 4: Simplify right side
    35,665x = 972,055,185.97
  5. Step 5: Solve for x
    x = 972,055,185.97/35,665
  6. Step 6: Final answer
    x = 27,255.16

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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.