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Finding the Fourth Proportional to 50,702.68, 76,064 and 17,414.64

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Solution

The fourth proportional to 50,702.68, 76,064 and 17,414.64 is: 26,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.68 : 76,064 = 17,414.64 : x
  2. Step 2: Convert to fraction form
    50,702.68/76,064 = 17,414.64/x
  3. Step 3: Cross multiply
    50,702.68x = 76,064 × 17,414.64
  4. Step 4: Simplify right side
    50,702.68x = 1,324,627,176.96
  5. Step 5: Solve for x
    x = 1,324,627,176.96/50,702.68
  6. Step 6: Final answer
    x = 26,125.39

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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.