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Finding the Fourth Proportional to 27,767.22, 41,741.15 and 22,280.69

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Solution

The fourth proportional to 27,767.22, 41,741.15 and 22,280.69 is: 33,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.22 : 41,741.15 = 22,280.69 : x
  2. Step 2: Convert to fraction form
    27,767.22/41,741.15 = 22,280.69/x
  3. Step 3: Cross multiply
    27,767.22x = 41,741.15 × 22,280.69
  4. Step 4: Simplify right side
    27,767.22x = 930,021,303.28
  5. Step 5: Solve for x
    x = 930,021,303.28/27,767.22
  6. Step 6: Final answer
    x = 33,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.