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Finding the Fourth Proportional to 29,971.73, 41,377.56 and 18,038

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Solution

The fourth proportional to 29,971.73, 41,377.56 and 18,038 is: 24,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.73 : 41,377.56 = 18,038 : x
  2. Step 2: Convert to fraction form
    29,971.73/41,377.56 = 18,038/x
  3. Step 3: Cross multiply
    29,971.73x = 41,377.56 × 18,038
  4. Step 4: Simplify right side
    29,971.73x = 746,368,427.28
  5. Step 5: Solve for x
    x = 746,368,427.28/29,971.73
  6. Step 6: Final answer
    x = 24,902.41

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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.