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Finding the Fourth Proportional to 30,478.12, 45,705 and 20,620.24

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Solution

The fourth proportional to 30,478.12, 45,705 and 20,620.24 is: 30,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.12 : 45,705 = 20,620.24 : x
  2. Step 2: Convert to fraction form
    30,478.12/45,705 = 20,620.24/x
  3. Step 3: Cross multiply
    30,478.12x = 45,705 × 20,620.24
  4. Step 4: Simplify right side
    30,478.12x = 942,448,069.20
  5. Step 5: Solve for x
    x = 942,448,069.20/30,478.12
  6. Step 6: Final answer
    x = 30,922.12

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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.