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Finding the Fourth Proportional to 54,647.39, 75,414.85 and 30,774.89

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Solution

The fourth proportional to 54,647.39, 75,414.85 and 30,774.89 is: 42,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.39 : 75,414.85 = 30,774.89 : x
  2. Step 2: Convert to fraction form
    54,647.39/75,414.85 = 30,774.89/x
  3. Step 3: Cross multiply
    54,647.39x = 75,414.85 × 30,774.89
  4. Step 4: Simplify right side
    54,647.39x = 2,320,883,824.72
  5. Step 5: Solve for x
    x = 2,320,883,824.72/54,647.39
  6. Step 6: Final answer
    x = 42,470.17

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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.