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Finding the Fourth Proportional to 54,834.71, 82,251.72 and 15,391.85

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Solution

The fourth proportional to 54,834.71, 82,251.72 and 15,391.85 is: 23,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,834.71 : 82,251.72 = 15,391.85 : x
  2. Step 2: Convert to fraction form
    54,834.71/82,251.72 = 15,391.85/x
  3. Step 3: Cross multiply
    54,834.71x = 82,251.72 × 15,391.85
  4. Step 4: Simplify right side
    54,834.71x = 1,266,005,725.22
  5. Step 5: Solve for x
    x = 1,266,005,725.22/54,834.71
  6. Step 6: Final answer
    x = 23,087.67

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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.