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Finding the Fourth Proportional to 54,994.28, 75,892.16 and 29,843.78

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Solution

The fourth proportional to 54,994.28, 75,892.16 and 29,843.78 is: 41,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,994.28 : 75,892.16 = 29,843.78 : x
  2. Step 2: Convert to fraction form
    54,994.28/75,892.16 = 29,843.78/x
  3. Step 3: Cross multiply
    54,994.28x = 75,892.16 × 29,843.78
  4. Step 4: Simplify right side
    54,994.28x = 2,264,908,777.55
  5. Step 5: Solve for x
    x = 2,264,908,777.55/54,994.28
  6. Step 6: Final answer
    x = 41,184.44

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Why These Related Problems?

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