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Finding the Fourth Proportional to 54,751.57, 82,114.80 and 15,311.46

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Solution

The fourth proportional to 54,751.57, 82,114.80 and 15,311.46 is: 22,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.57 : 82,114.80 = 15,311.46 : x
  2. Step 2: Convert to fraction form
    54,751.57/82,114.80 = 15,311.46/x
  3. Step 3: Cross multiply
    54,751.57x = 82,114.80 × 15,311.46
  4. Step 4: Simplify right side
    54,751.57x = 1,257,297,065.03
  5. Step 5: Solve for x
    x = 1,257,297,065.03/54,751.57
  6. Step 6: Final answer
    x = 22,963.67

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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.