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Finding the Fourth Proportional to 54,238.90, 74,847.50 and 31,578.54

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Solution

The fourth proportional to 54,238.90, 74,847.50 and 31,578.54 is: 43,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.90 : 74,847.50 = 31,578.54 : x
  2. Step 2: Convert to fraction form
    54,238.90/74,847.50 = 31,578.54/x
  3. Step 3: Cross multiply
    54,238.90x = 74,847.50 × 31,578.54
  4. Step 4: Simplify right side
    54,238.90x = 2,363,574,772.65
  5. Step 5: Solve for x
    x = 2,363,574,772.65/54,238.90
  6. Step 6: Final answer
    x = 43,577.11

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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.