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Finding the Fourth Proportional to 29,760.63, 41,071.69 and 17,185.38

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Solution

The fourth proportional to 29,760.63, 41,071.69 and 17,185.38 is: 23,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760.63 : 41,071.69 = 17,185.38 : x
  2. Step 2: Convert to fraction form
    29,760.63/41,071.69 = 17,185.38/x
  3. Step 3: Cross multiply
    29,760.63x = 41,071.69 × 17,185.38
  4. Step 4: Simplify right side
    29,760.63x = 705,832,599.89
  5. Step 5: Solve for x
    x = 705,832,599.89/29,760.63
  6. Step 6: Final answer
    x = 23,716.99

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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.