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Finding the Fourth Proportional to 52,072.46, 78,092.54 and 18,788.20

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Solution

The fourth proportional to 52,072.46, 78,092.54 and 18,788.20 is: 28,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.46 : 78,092.54 = 18,788.20 : x
  2. Step 2: Convert to fraction form
    52,072.46/78,092.54 = 18,788.20/x
  3. Step 3: Cross multiply
    52,072.46x = 78,092.54 × 18,788.20
  4. Step 4: Simplify right side
    52,072.46x = 1,467,218,260.03
  5. Step 5: Solve for x
    x = 1,467,218,260.03/52,072.46
  6. Step 6: Final answer
    x = 28,176.47

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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.