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Finding the Fourth Proportional to 52,072.34, 78,092.35 and 18,788.09

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Solution

The fourth proportional to 52,072.34, 78,092.35 and 18,788.09 is: 28,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.34 : 78,092.35 = 18,788.09 : x
  2. Step 2: Convert to fraction form
    52,072.34/78,092.35 = 18,788.09/x
  3. Step 3: Cross multiply
    52,072.34x = 78,092.35 × 18,788.09
  4. Step 4: Simplify right side
    52,072.34x = 1,467,205,662.68
  5. Step 5: Solve for x
    x = 1,467,205,662.68/52,072.34
  6. Step 6: Final answer
    x = 28,176.30

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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.