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Finding the Fourth Proportional to 20,050.50, 30,075.75 and 6,199.50

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Solution

The fourth proportional to 20,050.50, 30,075.75 and 6,199.50 is: 9,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.50 : 30,075.75 = 6,199.50 : x
  2. Step 2: Convert to fraction form
    20,050.50/30,075.75 = 6,199.50/x
  3. Step 3: Cross multiply
    20,050.50x = 30,075.75 × 6,199.50
  4. Step 4: Simplify right side
    20,050.50x = 186,454,612.13
  5. Step 5: Solve for x
    x = 186,454,612.13/20,050.50
  6. Step 6: Final answer
    x = 9,299.25

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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.