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Finding the Fourth Proportional to 20,045.41, 30,072.97 and 6,005.41

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Solution

The fourth proportional to 20,045.41, 30,072.97 and 6,005.41 is: 9,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.41 : 30,072.97 = 6,005.41 : x
  2. Step 2: Convert to fraction form
    20,045.41/30,072.97 = 6,005.41/x
  3. Step 3: Cross multiply
    20,045.41x = 30,072.97 × 6,005.41
  4. Step 4: Simplify right side
    20,045.41x = 180,600,447.09
  5. Step 5: Solve for x
    x = 180,600,447.09/20,045.41
  6. Step 6: Final answer
    x = 9,009.57

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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.