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Finding the Fourth Proportional to 27,811.70, 41,709.45 and 10,040.30

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Solution

The fourth proportional to 27,811.70, 41,709.45 and 10,040.30 is: 15,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.70 : 41,709.45 = 10,040.30 : x
  2. Step 2: Convert to fraction form
    27,811.70/41,709.45 = 10,040.30/x
  3. Step 3: Cross multiply
    27,811.70x = 41,709.45 × 10,040.30
  4. Step 4: Simplify right side
    27,811.70x = 418,775,390.84
  5. Step 5: Solve for x
    x = 418,775,390.84/27,811.70
  6. Step 6: Final answer
    x = 15,057.53

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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.