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Finding the Fourth Proportional to 54,912.53, 82,368.80 and 15,464.52

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Solution

The fourth proportional to 54,912.53, 82,368.80 and 15,464.52 is: 23,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912.53 : 82,368.80 = 15,464.52 : x
  2. Step 2: Convert to fraction form
    54,912.53/82,368.80 = 15,464.52/x
  3. Step 3: Cross multiply
    54,912.53x = 82,368.80 × 15,464.52
  4. Step 4: Simplify right side
    54,912.53x = 1,273,793,935.65
  5. Step 5: Solve for x
    x = 1,273,793,935.65/54,912.53
  6. Step 6: Final answer
    x = 23,196.78

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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.