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Finding the Fourth Proportional to 37,578.41, 51,822.41 and 22,468.62

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Solution

The fourth proportional to 37,578.41, 51,822.41 and 22,468.62 is: 30,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578.41 : 51,822.41 = 22,468.62 : x
  2. Step 2: Convert to fraction form
    37,578.41/51,822.41 = 22,468.62/x
  3. Step 3: Cross multiply
    37,578.41x = 51,822.41 × 22,468.62
  4. Step 4: Simplify right side
    37,578.41x = 1,164,378,093.95
  5. Step 5: Solve for x
    x = 1,164,378,093.95/37,578.41
  6. Step 6: Final answer
    x = 30,985.29

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1.5x scale

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.