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Finding the Fourth Proportional to 27,573.89, 38,049.72 and 15,638.33

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Solution

The fourth proportional to 27,573.89, 38,049.72 and 15,638.33 is: 21,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.89 : 38,049.72 = 15,638.33 : x
  2. Step 2: Convert to fraction form
    27,573.89/38,049.72 = 15,638.33/x
  3. Step 3: Cross multiply
    27,573.89x = 38,049.72 × 15,638.33
  4. Step 4: Simplify right side
    27,573.89x = 595,033,887.52
  5. Step 5: Solve for x
    x = 595,033,887.52/27,573.89
  6. Step 6: Final answer
    x = 21,579.62

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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.