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Finding the Fourth Proportional to 67,653.44, 101,464 and 25,537.60

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Solution

The fourth proportional to 67,653.44, 101,464 and 25,537.60 is: 38,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,653.44 : 101,464 = 25,537.60 : x
  2. Step 2: Convert to fraction form
    67,653.44/101,464 = 25,537.60/x
  3. Step 3: Cross multiply
    67,653.44x = 101,464 × 25,537.60
  4. Step 4: Simplify right side
    67,653.44x = 2,591,147,046.40
  5. Step 5: Solve for x
    x = 2,591,147,046.40/67,653.44
  6. Step 6: Final answer
    x = 38,300.30

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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.