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Finding the Fourth Proportional to 54,977, 75,868.28 and 31,103.16

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Solution

The fourth proportional to 54,977, 75,868.28 and 31,103.16 is: 42,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,977 : 75,868.28 = 31,103.16 : x
  2. Step 2: Convert to fraction form
    54,977/75,868.28 = 31,103.16/x
  3. Step 3: Cross multiply
    54,977x = 75,868.28 × 31,103.16
  4. Step 4: Simplify right side
    54,977x = 2,359,743,251.76
  5. Step 5: Solve for x
    x = 2,359,743,251.76/54,977
  6. Step 6: Final answer
    x = 42,922.37

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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.