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Finding the Fourth Proportional to 28,065.80, 42,098.34 and 8,075.82

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Solution

The fourth proportional to 28,065.80, 42,098.34 and 8,075.82 is: 12,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,065.80 : 42,098.34 = 8,075.82 : x
  2. Step 2: Convert to fraction form
    28,065.80/42,098.34 = 8,075.82/x
  3. Step 3: Cross multiply
    28,065.80x = 42,098.34 × 8,075.82
  4. Step 4: Simplify right side
    28,065.80x = 339,978,616.14
  5. Step 5: Solve for x
    x = 339,978,616.14/28,065.80
  6. Step 6: Final answer
    x = 12,113.63

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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.