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Finding the Fourth Proportional to 43,835.40, 65,709.90 and 21,652.20

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Solution

The fourth proportional to 43,835.40, 65,709.90 and 21,652.20 is: 32,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,835.40 : 65,709.90 = 21,652.20 : x
  2. Step 2: Convert to fraction form
    43,835.40/65,709.90 = 21,652.20/x
  3. Step 3: Cross multiply
    43,835.40x = 65,709.90 × 21,652.20
  4. Step 4: Simplify right side
    43,835.40x = 1,422,763,896.78
  5. Step 5: Solve for x
    x = 1,422,763,896.78/43,835.40
  6. Step 6: Final answer
    x = 32,456.96

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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.