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Finding the Fourth Proportional to 37,580.49, 56,391.48 and 20,949.89

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Solution

The fourth proportional to 37,580.49, 56,391.48 and 20,949.89 is: 31,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.49 : 56,391.48 = 20,949.89 : x
  2. Step 2: Convert to fraction form
    37,580.49/56,391.48 = 20,949.89/x
  3. Step 3: Cross multiply
    37,580.49x = 56,391.48 × 20,949.89
  4. Step 4: Simplify right side
    37,580.49x = 1,181,395,020.98
  5. Step 5: Solve for x
    x = 1,181,395,020.98/37,580.49
  6. Step 6: Final answer
    x = 31,436.39

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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.