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Finding the Fourth Proportional to 29,725.68, 41,021.10 and 17,150.16

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Solution

The fourth proportional to 29,725.68, 41,021.10 and 17,150.16 is: 23,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.68 : 41,021.10 = 17,150.16 : x
  2. Step 2: Convert to fraction form
    29,725.68/41,021.10 = 17,150.16/x
  3. Step 3: Cross multiply
    29,725.68x = 41,021.10 × 17,150.16
  4. Step 4: Simplify right side
    29,725.68x = 703,518,428.38
  5. Step 5: Solve for x
    x = 703,518,428.38/29,725.68
  6. Step 6: Final answer
    x = 23,667.03

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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.