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Finding the Fourth Proportional to 51,796.74, 77,826.45 and 48,313.92

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Solution

The fourth proportional to 51,796.74, 77,826.45 and 48,313.92 is: 72,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,796.74 : 77,826.45 = 48,313.92 : x
  2. Step 2: Convert to fraction form
    51,796.74/77,826.45 = 48,313.92/x
  3. Step 3: Cross multiply
    51,796.74x = 77,826.45 × 48,313.92
  4. Step 4: Simplify right side
    51,796.74x = 3,760,100,879.18
  5. Step 5: Solve for x
    x = 3,760,100,879.18/51,796.74
  6. Step 6: Final answer
    x = 72,593.39

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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.