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Finding the Fourth Proportional to 30,817.20, 46,108.80 and 20,449.20

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Solution

The fourth proportional to 30,817.20, 46,108.80 and 20,449.20 is: 30,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.20 : 46,108.80 = 20,449.20 : x
  2. Step 2: Convert to fraction form
    30,817.20/46,108.80 = 20,449.20/x
  3. Step 3: Cross multiply
    30,817.20x = 46,108.80 × 20,449.20
  4. Step 4: Simplify right side
    30,817.20x = 942,888,072.96
  5. Step 5: Solve for x
    x = 942,888,072.96/30,817.20
  6. Step 6: Final answer
    x = 30,596.16

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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.