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Finding the Fourth Proportional to 30,570.40, 45,855.60 and 20,072.80

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Solution

The fourth proportional to 30,570.40, 45,855.60 and 20,072.80 is: 30,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.40 : 45,855.60 = 20,072.80 : x
  2. Step 2: Convert to fraction form
    30,570.40/45,855.60 = 20,072.80/x
  3. Step 3: Cross multiply
    30,570.40x = 45,855.60 × 20,072.80
  4. Step 4: Simplify right side
    30,570.40x = 920,450,287.68
  5. Step 5: Solve for x
    x = 920,450,287.68/30,570.40
  6. Step 6: Final answer
    x = 30,109.20

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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.