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Finding the Fourth Proportional to 27,219.70, 37,563.24 and 15,283

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Solution

The fourth proportional to 27,219.70, 37,563.24 and 15,283 is: 21,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.70 : 37,563.24 = 15,283 : x
  2. Step 2: Convert to fraction form
    27,219.70/37,563.24 = 15,283/x
  3. Step 3: Cross multiply
    27,219.70x = 37,563.24 × 15,283
  4. Step 4: Simplify right side
    27,219.70x = 574,078,996.92
  5. Step 5: Solve for x
    x = 574,078,996.92/27,219.70
  6. Step 6: Final answer
    x = 21,090.57

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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.