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Finding the Fourth Proportional to 43,853.44, 65,763.83 and 15,765.83

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Solution

The fourth proportional to 43,853.44, 65,763.83 and 15,765.83 is: 23,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,853.44 : 65,763.83 = 15,765.83 : x
  2. Step 2: Convert to fraction form
    43,853.44/65,763.83 = 15,765.83/x
  3. Step 3: Cross multiply
    43,853.44x = 65,763.83 × 15,765.83
  4. Step 4: Simplify right side
    43,853.44x = 1,036,821,363.93
  5. Step 5: Solve for x
    x = 1,036,821,363.93/43,853.44
  6. Step 6: Final answer
    x = 23,642.87

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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.