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Finding the Fourth Proportional to 54,214.26, 74,817.36 and 30,340.88

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Solution

The fourth proportional to 54,214.26, 74,817.36 and 30,340.88 is: 41,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.26 : 74,817.36 = 30,340.88 : x
  2. Step 2: Convert to fraction form
    54,214.26/74,817.36 = 30,340.88/x
  3. Step 3: Cross multiply
    54,214.26x = 74,817.36 × 30,340.88
  4. Step 4: Simplify right side
    54,214.26x = 2,270,024,015.89
  5. Step 5: Solve for x
    x = 2,270,024,015.89/54,214.26
  6. Step 6: Final answer
    x = 41,871.35

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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.