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Finding the Fourth Proportional to 27,812.99, 41,734.47 and 20,215.10

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Solution

The fourth proportional to 27,812.99, 41,734.47 and 20,215.10 is: 30,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.99 : 41,734.47 = 20,215.10 : x
  2. Step 2: Convert to fraction form
    27,812.99/41,734.47 = 20,215.10/x
  3. Step 3: Cross multiply
    27,812.99x = 41,734.47 × 20,215.10
  4. Step 4: Simplify right side
    27,812.99x = 843,666,484.50
  5. Step 5: Solve for x
    x = 843,666,484.50/27,812.99
  6. Step 6: Final answer
    x = 30,333.54

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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.