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Finding the Fourth Proportional to 40,115.01, 55,360.77 and 22,212

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Solution

The fourth proportional to 40,115.01, 55,360.77 and 22,212 is: 30,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,115.01 : 55,360.77 = 22,212 : x
  2. Step 2: Convert to fraction form
    40,115.01/55,360.77 = 22,212/x
  3. Step 3: Cross multiply
    40,115.01x = 55,360.77 × 22,212
  4. Step 4: Simplify right side
    40,115.01x = 1,229,673,423.24
  5. Step 5: Solve for x
    x = 1,229,673,423.24/40,115.01
  6. Step 6: Final answer
    x = 30,653.70

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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.