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Finding the Fourth Proportional to 35,078.25, 48,419.52 and 27,921.29

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Solution

The fourth proportional to 35,078.25, 48,419.52 and 27,921.29 is: 38,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,078.25 : 48,419.52 = 27,921.29 : x
  2. Step 2: Convert to fraction form
    35,078.25/48,419.52 = 27,921.29/x
  3. Step 3: Cross multiply
    35,078.25x = 48,419.52 × 27,921.29
  4. Step 4: Simplify right side
    35,078.25x = 1,351,935,217.48
  5. Step 5: Solve for x
    x = 1,351,935,217.48/35,078.25
  6. Step 6: Final answer
    x = 38,540.55

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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.