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Finding the Fourth Proportional to 35,765.48, 49,356 and 19,850.06

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Solution

The fourth proportional to 35,765.48, 49,356 and 19,850.06 is: 27,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.48 : 49,356 = 19,850.06 : x
  2. Step 2: Convert to fraction form
    35,765.48/49,356 = 19,850.06/x
  3. Step 3: Cross multiply
    35,765.48x = 49,356 × 19,850.06
  4. Step 4: Simplify right side
    35,765.48x = 979,719,561.36
  5. Step 5: Solve for x
    x = 979,719,561.36/35,765.48
  6. Step 6: Final answer
    x = 27,392.88

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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.