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Finding the Fourth Proportional to 54,202.84, 74,803.20 and 30,329.00

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Solution

The fourth proportional to 54,202.84, 74,803.20 and 30,329.00 is: 41,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,202.84 : 74,803.20 = 30,329.00 : x
  2. Step 2: Convert to fraction form
    54,202.84/74,803.20 = 30,329.00/x
  3. Step 3: Cross multiply
    54,202.84x = 74,803.20 × 30,329.00
  4. Step 4: Simplify right side
    54,202.84x = 2,268,706,439.81
  5. Step 5: Solve for x
    x = 2,268,706,439.81/54,202.84
  6. Step 6: Final answer
    x = 41,855.86

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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.