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Finding the Fourth Proportional to 27,608.78, 38,054.52 and 19,532

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Solution

The fourth proportional to 27,608.78, 38,054.52 and 19,532 is: 26,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.78 : 38,054.52 = 19,532 : x
  2. Step 2: Convert to fraction form
    27,608.78/38,054.52 = 19,532/x
  3. Step 3: Cross multiply
    27,608.78x = 38,054.52 × 19,532
  4. Step 4: Simplify right side
    27,608.78x = 743,280,884.64
  5. Step 5: Solve for x
    x = 743,280,884.64/27,608.78
  6. Step 6: Final answer
    x = 26,921.90

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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.