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Finding the Fourth Proportional to 113,863.54, 170,794.95 and 30,757.54

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Solution

The fourth proportional to 113,863.54, 170,794.95 and 30,757.54 is: 46,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,863.54 : 170,794.95 = 30,757.54 : x
  2. Step 2: Convert to fraction form
    113,863.54/170,794.95 = 30,757.54/x
  3. Step 3: Cross multiply
    113,863.54x = 170,794.95 × 30,757.54
  4. Step 4: Simplify right side
    113,863.54x = 5,253,232,506.42
  5. Step 5: Solve for x
    x = 5,253,232,506.42/113,863.54
  6. Step 6: Final answer
    x = 46,136.21

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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.