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Finding the Fourth Proportional to 54,907.71, 82,362.91 and 15,464.56

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Solution

The fourth proportional to 54,907.71, 82,362.91 and 15,464.56 is: 23,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907.71 : 82,362.91 = 15,464.56 : x
  2. Step 2: Convert to fraction form
    54,907.71/82,362.91 = 15,464.56/x
  3. Step 3: Cross multiply
    54,907.71x = 82,362.91 × 15,464.56
  4. Step 4: Simplify right side
    54,907.71x = 1,273,705,751.66
  5. Step 5: Solve for x
    x = 1,273,705,751.66/54,907.71
  6. Step 6: Final answer
    x = 23,197.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.