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Finding the Fourth Proportional to 40,093, 55,329.14 and 22,187.54

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Solution

The fourth proportional to 40,093, 55,329.14 and 22,187.54 is: 30,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,093 : 55,329.14 = 22,187.54 : x
  2. Step 2: Convert to fraction form
    40,093/55,329.14 = 22,187.54/x
  3. Step 3: Cross multiply
    40,093x = 55,329.14 × 22,187.54
  4. Step 4: Simplify right side
    40,093x = 1,227,617,506.92
  5. Step 5: Solve for x
    x = 1,227,617,506.92/40,093
  6. Step 6: Final answer
    x = 30,619.25

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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.