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Finding the Fourth Proportional to 54,216.63, 74,865.12 and 34,107.16

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Solution

The fourth proportional to 54,216.63, 74,865.12 and 34,107.16 is: 47,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,216.63 : 74,865.12 = 34,107.16 : x
  2. Step 2: Convert to fraction form
    54,216.63/74,865.12 = 34,107.16/x
  3. Step 3: Cross multiply
    54,216.63x = 74,865.12 × 34,107.16
  4. Step 4: Simplify right side
    54,216.63x = 2,553,436,626.26
  5. Step 5: Solve for x
    x = 2,553,436,626.26/54,216.63
  6. Step 6: Final answer
    x = 47,096.93

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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.