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Finding the Fourth Proportional to 25,794, 35,577.28 and 23,676.25

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Solution

The fourth proportional to 25,794, 35,577.28 and 23,676.25 is: 32,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794 : 35,577.28 = 23,676.25 : x
  2. Step 2: Convert to fraction form
    25,794/35,577.28 = 23,676.25/x
  3. Step 3: Cross multiply
    25,794x = 35,577.28 × 23,676.25
  4. Step 4: Simplify right side
    25,794x = 842,336,575.60
  5. Step 5: Solve for x
    x = 842,336,575.60/25,794
  6. Step 6: Final answer
    x = 32,656.30

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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.