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Finding the Fourth Proportional to 54,838.98, 82,245.69 and 15,399.90

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Solution

The fourth proportional to 54,838.98, 82,245.69 and 15,399.90 is: 23,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.98 : 82,245.69 = 15,399.90 : x
  2. Step 2: Convert to fraction form
    54,838.98/82,245.69 = 15,399.90/x
  3. Step 3: Cross multiply
    54,838.98x = 82,245.69 × 15,399.90
  4. Step 4: Simplify right side
    54,838.98x = 1,266,575,401.43
  5. Step 5: Solve for x
    x = 1,266,575,401.43/54,838.98
  6. Step 6: Final answer
    x = 23,096.26

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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.