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Finding the Fourth Proportional to 43,909.60, 65,896.80 and 17,633.20

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Solution

The fourth proportional to 43,909.60, 65,896.80 and 17,633.20 is: 26,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,909.60 : 65,896.80 = 17,633.20 : x
  2. Step 2: Convert to fraction form
    43,909.60/65,896.80 = 17,633.20/x
  3. Step 3: Cross multiply
    43,909.60x = 65,896.80 × 17,633.20
  4. Step 4: Simplify right side
    43,909.60x = 1,161,971,453.76
  5. Step 5: Solve for x
    x = 1,161,971,453.76/43,909.60
  6. Step 6: Final answer
    x = 26,462.81

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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.