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Finding the Fourth Proportional to 27,750.72, 41,622 and 10,216.48

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Solution

The fourth proportional to 27,750.72, 41,622 and 10,216.48 is: 15,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750.72 : 41,622 = 10,216.48 : x
  2. Step 2: Convert to fraction form
    27,750.72/41,622 = 10,216.48/x
  3. Step 3: Cross multiply
    27,750.72x = 41,622 × 10,216.48
  4. Step 4: Simplify right side
    27,750.72x = 425,230,330.56
  5. Step 5: Solve for x
    x = 425,230,330.56/27,750.72
  6. Step 6: Final answer
    x = 15,323.22

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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.