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Finding the Fourth Proportional to 37,886.08, 52,294.26 and 21,974.44

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Solution

The fourth proportional to 37,886.08, 52,294.26 and 21,974.44 is: 30,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886.08 : 52,294.26 = 21,974.44 : x
  2. Step 2: Convert to fraction form
    37,886.08/52,294.26 = 21,974.44/x
  3. Step 3: Cross multiply
    37,886.08x = 52,294.26 × 21,974.44
  4. Step 4: Simplify right side
    37,886.08x = 1,149,137,078.71
  5. Step 5: Solve for x
    x = 1,149,137,078.71/37,886.08
  6. Step 6: Final answer
    x = 30,331.38

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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.