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Finding the Fourth Proportional to 54,644.32, 75,408.42 and 30,771.28

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Solution

The fourth proportional to 54,644.32, 75,408.42 and 30,771.28 is: 42,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,644.32 : 75,408.42 = 30,771.28 : x
  2. Step 2: Convert to fraction form
    54,644.32/75,408.42 = 30,771.28/x
  3. Step 3: Cross multiply
    54,644.32x = 75,408.42 × 30,771.28
  4. Step 4: Simplify right side
    54,644.32x = 2,320,413,606.18
  5. Step 5: Solve for x
    x = 2,320,413,606.18/54,644.32
  6. Step 6: Final answer
    x = 42,463.95

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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.