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Finding the Fourth Proportional to 54,851.44, 82,277.15 and 13,298.44

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Solution

The fourth proportional to 54,851.44, 82,277.15 and 13,298.44 is: 19,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.44 : 82,277.15 = 13,298.44 : x
  2. Step 2: Convert to fraction form
    54,851.44/82,277.15 = 13,298.44/x
  3. Step 3: Cross multiply
    54,851.44x = 82,277.15 × 13,298.44
  4. Step 4: Simplify right side
    54,851.44x = 1,094,157,742.65
  5. Step 5: Solve for x
    x = 1,094,157,742.65/54,851.44
  6. Step 6: Final answer
    x = 19,947.66

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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.