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Finding the Fourth Proportional to 32,977, 45,508.26 and 18,072.68

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Solution

The fourth proportional to 32,977, 45,508.26 and 18,072.68 is: 24,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977 : 45,508.26 = 18,072.68 : x
  2. Step 2: Convert to fraction form
    32,977/45,508.26 = 18,072.68/x
  3. Step 3: Cross multiply
    32,977x = 45,508.26 × 18,072.68
  4. Step 4: Simplify right side
    32,977x = 822,456,220.34
  5. Step 5: Solve for x
    x = 822,456,220.34/32,977
  6. Step 6: Final answer
    x = 24,940.30

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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.