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Finding the Fourth Proportional to 59,022.12, 81,447.48 and 33,870

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Solution

The fourth proportional to 59,022.12, 81,447.48 and 33,870 is: 46,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022.12 : 81,447.48 = 33,870 : x
  2. Step 2: Convert to fraction form
    59,022.12/81,447.48 = 33,870/x
  3. Step 3: Cross multiply
    59,022.12x = 81,447.48 × 33,870
  4. Step 4: Simplify right side
    59,022.12x = 2,758,626,147.60
  5. Step 5: Solve for x
    x = 2,758,626,147.60/59,022.12
  6. Step 6: Final answer
    x = 46,738.85

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