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Finding the Fourth Proportional to 20,048.89, 30,075.36 and 6,899.53

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Solution

The fourth proportional to 20,048.89, 30,075.36 and 6,899.53 is: 10,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.89 : 30,075.36 = 6,899.53 : x
  2. Step 2: Convert to fraction form
    20,048.89/30,075.36 = 6,899.53/x
  3. Step 3: Cross multiply
    20,048.89x = 30,075.36 × 6,899.53
  4. Step 4: Simplify right side
    20,048.89x = 207,505,848.58
  5. Step 5: Solve for x
    x = 207,505,848.58/20,048.89
  6. Step 6: Final answer
    x = 10,349.99

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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.