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Finding the Fourth Proportional to 54,949.66, 75,830.58 and 29,799.16

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Solution

The fourth proportional to 54,949.66, 75,830.58 and 29,799.16 is: 41,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949.66 : 75,830.58 = 29,799.16 : x
  2. Step 2: Convert to fraction form
    54,949.66/75,830.58 = 29,799.16/x
  3. Step 3: Cross multiply
    54,949.66x = 75,830.58 × 29,799.16
  4. Step 4: Simplify right side
    54,949.66x = 2,259,687,586.31
  5. Step 5: Solve for x
    x = 2,259,687,586.31/54,949.66
  6. Step 6: Final answer
    x = 41,122.87

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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.