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Finding the Fourth Proportional to 20,075.68, 30,113.42 and 6,035.64

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Solution

The fourth proportional to 20,075.68, 30,113.42 and 6,035.64 is: 9,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.68 : 30,113.42 = 6,035.64 : x
  2. Step 2: Convert to fraction form
    20,075.68/30,113.42 = 6,035.64/x
  3. Step 3: Cross multiply
    20,075.68x = 30,113.42 × 6,035.64
  4. Step 4: Simplify right side
    20,075.68x = 181,753,762.29
  5. Step 5: Solve for x
    x = 181,753,762.29/20,075.68
  6. Step 6: Final answer
    x = 9,053.43

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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.