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Finding the Fourth Proportional to 59,333, 81,879.62 and 36,977

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Solution

The fourth proportional to 59,333, 81,879.62 and 36,977 is: 51,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,333 : 81,879.62 = 36,977 : x
  2. Step 2: Convert to fraction form
    59,333/81,879.62 = 36,977/x
  3. Step 3: Cross multiply
    59,333x = 81,879.62 × 36,977
  4. Step 4: Simplify right side
    59,333x = 3,027,662,708.74
  5. Step 5: Solve for x
    x = 3,027,662,708.74/59,333
  6. Step 6: Final answer
    x = 51,028.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.