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Finding the Fourth Proportional to 62,965.83, 86,899 and 47,022.60

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Solution

The fourth proportional to 62,965.83, 86,899 and 47,022.60 is: 64,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,965.83 : 86,899 = 47,022.60 : x
  2. Step 2: Convert to fraction form
    62,965.83/86,899 = 47,022.60/x
  3. Step 3: Cross multiply
    62,965.83x = 86,899 × 47,022.60
  4. Step 4: Simplify right side
    62,965.83x = 4,086,216,917.40
  5. Step 5: Solve for x
    x = 4,086,216,917.40/62,965.83
  6. Step 6: Final answer
    x = 64,895.78

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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.