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Finding the Fourth Proportional to 41,097.99, 61,597.41 and 20,006.41

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Solution

The fourth proportional to 41,097.99, 61,597.41 and 20,006.41 is: 29,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.99 : 61,597.41 = 20,006.41 : x
  2. Step 2: Convert to fraction form
    41,097.99/61,597.41 = 20,006.41/x
  3. Step 3: Cross multiply
    41,097.99x = 61,597.41 × 20,006.41
  4. Step 4: Simplify right side
    41,097.99x = 1,232,342,939.37
  5. Step 5: Solve for x
    x = 1,232,342,939.37/41,097.99
  6. Step 6: Final answer
    x = 29,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.