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Finding the Fourth Proportional to 51,933, 77,912.46 and 14,997

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Solution

The fourth proportional to 51,933, 77,912.46 and 14,997 is: 22,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933 : 77,912.46 = 14,997 : x
  2. Step 2: Convert to fraction form
    51,933/77,912.46 = 14,997/x
  3. Step 3: Cross multiply
    51,933x = 77,912.46 × 14,997
  4. Step 4: Simplify right side
    51,933x = 1,168,453,162.62
  5. Step 5: Solve for x
    x = 1,168,453,162.62/51,933
  6. Step 6: Final answer
    x = 22,499.24

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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.