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Finding the Fourth Proportional to 44,578.96, 66,809.40 and 37,198

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Solution

The fourth proportional to 44,578.96, 66,809.40 and 37,198 is: 55,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,578.96 : 66,809.40 = 37,198 : x
  2. Step 2: Convert to fraction form
    44,578.96/66,809.40 = 37,198/x
  3. Step 3: Cross multiply
    44,578.96x = 66,809.40 × 37,198
  4. Step 4: Simplify right side
    44,578.96x = 2,485,176,061.20
  5. Step 5: Solve for x
    x = 2,485,176,061.20/44,578.96
  6. Step 6: Final answer
    x = 55,747.74

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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.