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Finding the Fourth Proportional to 166,993.44, 250,465.84 and 48,633

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Solution

The fourth proportional to 166,993.44, 250,465.84 and 48,633 is: 72,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,993.44 : 250,465.84 = 48,633 : x
  2. Step 2: Convert to fraction form
    166,993.44/250,465.84 = 48,633/x
  3. Step 3: Cross multiply
    166,993.44x = 250,465.84 × 48,633
  4. Step 4: Simplify right side
    166,993.44x = 12,180,905,196.72
  5. Step 5: Solve for x
    x = 12,180,905,196.72/166,993.44
  6. Step 6: Final answer
    x = 72,942.42

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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.