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Finding the Fourth Proportional to 54,850.44, 82,275.66 and 13,297.44

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Solution

The fourth proportional to 54,850.44, 82,275.66 and 13,297.44 is: 19,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.44 : 82,275.66 = 13,297.44 : x
  2. Step 2: Convert to fraction form
    54,850.44/82,275.66 = 13,297.44/x
  3. Step 3: Cross multiply
    54,850.44x = 82,275.66 × 13,297.44
  4. Step 4: Simplify right side
    54,850.44x = 1,094,055,652.31
  5. Step 5: Solve for x
    x = 1,094,055,652.31/54,850.44
  6. Step 6: Final answer
    x = 19,946.16

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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.