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Finding the Fourth Proportional to 54,949, 75,829.62 and 29,798.56

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Solution

The fourth proportional to 54,949, 75,829.62 and 29,798.56 is: 41,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949 : 75,829.62 = 29,798.56 : x
  2. Step 2: Convert to fraction form
    54,949/75,829.62 = 29,798.56/x
  3. Step 3: Cross multiply
    54,949x = 75,829.62 × 29,798.56
  4. Step 4: Simplify right side
    54,949x = 2,259,613,481.35
  5. Step 5: Solve for x
    x = 2,259,613,481.35/54,949
  6. Step 6: Final answer
    x = 41,122.01

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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.