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Finding the Fourth Proportional to 29,978.93, 41,376.97 and 17,241.02

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Solution

The fourth proportional to 29,978.93, 41,376.97 and 17,241.02 is: 23,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.93 : 41,376.97 = 17,241.02 : x
  2. Step 2: Convert to fraction form
    29,978.93/41,376.97 = 17,241.02/x
  3. Step 3: Cross multiply
    29,978.93x = 41,376.97 × 17,241.02
  4. Step 4: Simplify right side
    29,978.93x = 713,381,167.31
  5. Step 5: Solve for x
    x = 713,381,167.31/29,978.93
  6. Step 6: Final answer
    x = 23,796.09

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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.