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Finding the Fourth Proportional to 51,489.75, 77,219.70 and 15,464.75

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Solution

The fourth proportional to 51,489.75, 77,219.70 and 15,464.75 is: 23,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.75 : 77,219.70 = 15,464.75 : x
  2. Step 2: Convert to fraction form
    51,489.75/77,219.70 = 15,464.75/x
  3. Step 3: Cross multiply
    51,489.75x = 77,219.70 × 15,464.75
  4. Step 4: Simplify right side
    51,489.75x = 1,194,183,355.58
  5. Step 5: Solve for x
    x = 1,194,183,355.58/51,489.75
  6. Step 6: Final answer
    x = 23,192.64

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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.