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Finding the Fourth Proportional to 25,642, 38,464.44 and 7,175.44

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Solution

The fourth proportional to 25,642, 38,464.44 and 7,175.44 is: 10,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642 : 38,464.44 = 7,175.44 : x
  2. Step 2: Convert to fraction form
    25,642/38,464.44 = 7,175.44/x
  3. Step 3: Cross multiply
    25,642x = 38,464.44 × 7,175.44
  4. Step 4: Simplify right side
    25,642x = 275,999,281.35
  5. Step 5: Solve for x
    x = 275,999,281.35/25,642
  6. Step 6: Final answer
    x = 10,763.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.