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Finding the Fourth Proportional to 33,583.48, 50,306.06 and 19,699

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Solution

The fourth proportional to 33,583.48, 50,306.06 and 19,699 is: 29,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.48 : 50,306.06 = 19,699 : x
  2. Step 2: Convert to fraction form
    33,583.48/50,306.06 = 19,699/x
  3. Step 3: Cross multiply
    33,583.48x = 50,306.06 × 19,699
  4. Step 4: Simplify right side
    33,583.48x = 990,979,075.94
  5. Step 5: Solve for x
    x = 990,979,075.94/33,583.48
  6. Step 6: Final answer
    x = 29,507.93

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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.