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Finding the Fourth Proportional to 29,847.84, 41,173.65 and 18,513.42

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Solution

The fourth proportional to 29,847.84, 41,173.65 and 18,513.42 is: 25,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.84 : 41,173.65 = 18,513.42 : x
  2. Step 2: Convert to fraction form
    29,847.84/41,173.65 = 18,513.42/x
  3. Step 3: Cross multiply
    29,847.84x = 41,173.65 × 18,513.42
  4. Step 4: Simplify right side
    29,847.84x = 762,265,075.38
  5. Step 5: Solve for x
    x = 762,265,075.38/29,847.84
  6. Step 6: Final answer
    x = 25,538.37

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Why These Related Problems?

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