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Finding the Fourth Proportional to 67,382.25, 101,078.24 and 25,829.25

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Solution

The fourth proportional to 67,382.25, 101,078.24 and 25,829.25 is: 38,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,382.25 : 101,078.24 = 25,829.25 : x
  2. Step 2: Convert to fraction form
    67,382.25/101,078.24 = 25,829.25/x
  3. Step 3: Cross multiply
    67,382.25x = 101,078.24 × 25,829.25
  4. Step 4: Simplify right side
    67,382.25x = 2,610,775,001.37
  5. Step 5: Solve for x
    x = 2,610,775,001.37/67,382.25
  6. Step 6: Final answer
    x = 38,745.74

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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.