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Finding the Fourth Proportional to 20,075.09, 30,114.12 and 6,033.99

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Solution

The fourth proportional to 20,075.09, 30,114.12 and 6,033.99 is: 9,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.09 : 30,114.12 = 6,033.99 : x
  2. Step 2: Convert to fraction form
    20,075.09/30,114.12 = 6,033.99/x
  3. Step 3: Cross multiply
    20,075.09x = 30,114.12 × 6,033.99
  4. Step 4: Simplify right side
    20,075.09x = 181,708,298.94
  5. Step 5: Solve for x
    x = 181,708,298.94/20,075.09
  6. Step 6: Final answer
    x = 9,051.43

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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.