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Finding the Fourth Proportional to 54,206.94, 74,808.71 and 30,333.40

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Solution

The fourth proportional to 54,206.94, 74,808.71 and 30,333.40 is: 41,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206.94 : 74,808.71 = 30,333.40 : x
  2. Step 2: Convert to fraction form
    54,206.94/74,808.71 = 30,333.40/x
  3. Step 3: Cross multiply
    54,206.94x = 74,808.71 × 30,333.40
  4. Step 4: Simplify right side
    54,206.94x = 2,269,202,523.91
  5. Step 5: Solve for x
    x = 2,269,202,523.91/54,206.94
  6. Step 6: Final answer
    x = 41,861.85

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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.