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Finding the Fourth Proportional to 51,982.50, 77,978.62 and 16,912.74

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Solution

The fourth proportional to 51,982.50, 77,978.62 and 16,912.74 is: 25,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.50 : 77,978.62 = 16,912.74 : x
  2. Step 2: Convert to fraction form
    51,982.50/77,978.62 = 16,912.74/x
  3. Step 3: Cross multiply
    51,982.50x = 77,978.62 × 16,912.74
  4. Step 4: Simplify right side
    51,982.50x = 1,318,832,125.62
  5. Step 5: Solve for x
    x = 1,318,832,125.62/51,982.50
  6. Step 6: Final answer
    x = 25,370.69

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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.