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Finding the Fourth Proportional to 40,195.40, 55,467.54 and 22,289

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Solution

The fourth proportional to 40,195.40, 55,467.54 and 22,289 is: 30,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.40 : 55,467.54 = 22,289 : x
  2. Step 2: Convert to fraction form
    40,195.40/55,467.54 = 22,289/x
  3. Step 3: Cross multiply
    40,195.40x = 55,467.54 × 22,289
  4. Step 4: Simplify right side
    40,195.40x = 1,236,315,999.06
  5. Step 5: Solve for x
    x = 1,236,315,999.06/40,195.40
  6. Step 6: Final answer
    x = 30,757.65

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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.