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Finding the Fourth Proportional to 34,412.80, 51,619.20 and 13,633.60

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Solution

The fourth proportional to 34,412.80, 51,619.20 and 13,633.60 is: 20,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.80 : 51,619.20 = 13,633.60 : x
  2. Step 2: Convert to fraction form
    34,412.80/51,619.20 = 13,633.60/x
  3. Step 3: Cross multiply
    34,412.80x = 51,619.20 × 13,633.60
  4. Step 4: Simplify right side
    34,412.80x = 703,755,525.12
  5. Step 5: Solve for x
    x = 703,755,525.12/34,412.80
  6. Step 6: Final answer
    x = 20,450.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.