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Finding the Fourth Proportional to 47,763.97, 65,844.81 and 33,379.14

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Solution

The fourth proportional to 47,763.97, 65,844.81 and 33,379.14 is: 46,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.97 : 65,844.81 = 33,379.14 : x
  2. Step 2: Convert to fraction form
    47,763.97/65,844.81 = 33,379.14/x
  3. Step 3: Cross multiply
    47,763.97x = 65,844.81 × 33,379.14
  4. Step 4: Simplify right side
    47,763.97x = 2,197,843,471.42
  5. Step 5: Solve for x
    x = 2,197,843,471.42/47,763.97
  6. Step 6: Final answer
    x = 46,014.67

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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.