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Finding the Fourth Proportional to 32,199.40, 48,293.63 and 8,507.21

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Solution

The fourth proportional to 32,199.40, 48,293.63 and 8,507.21 is: 12,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.40 : 48,293.63 = 8,507.21 : x
  2. Step 2: Convert to fraction form
    32,199.40/48,293.63 = 8,507.21/x
  3. Step 3: Cross multiply
    32,199.40x = 48,293.63 × 8,507.21
  4. Step 4: Simplify right side
    32,199.40x = 410,844,052.07
  5. Step 5: Solve for x
    x = 410,844,052.07/32,199.40
  6. Step 6: Final answer
    x = 12,759.37

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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.