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Finding the Fourth Proportional to 54,213.22, 74,817.54 and 30,339.40

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Solution

The fourth proportional to 54,213.22, 74,817.54 and 30,339.40 is: 41,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213.22 : 74,817.54 = 30,339.40 : x
  2. Step 2: Convert to fraction form
    54,213.22/74,817.54 = 30,339.40/x
  3. Step 3: Cross multiply
    54,213.22x = 74,817.54 × 30,339.40
  4. Step 4: Simplify right side
    54,213.22x = 2,269,919,273.08
  5. Step 5: Solve for x
    x = 2,269,919,273.08/54,213.22
  6. Step 6: Final answer
    x = 41,870.22

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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.