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Finding the Fourth Proportional to 35,998.65, 49,679.64 and 20,083.05

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Solution

The fourth proportional to 35,998.65, 49,679.64 and 20,083.05 is: 27,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.65 : 49,679.64 = 20,083.05 : x
  2. Step 2: Convert to fraction form
    35,998.65/49,679.64 = 20,083.05/x
  3. Step 3: Cross multiply
    35,998.65x = 49,679.64 × 20,083.05
  4. Step 4: Simplify right side
    35,998.65x = 997,718,694.10
  5. Step 5: Solve for x
    x = 997,718,694.10/35,998.65
  6. Step 6: Final answer
    x = 27,715.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.