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Finding the Fourth Proportional to 73,142.02, 109,713 and 25,745.95

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Solution

The fourth proportional to 73,142.02, 109,713 and 25,745.95 is: 38,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.02 : 109,713 = 25,745.95 : x
  2. Step 2: Convert to fraction form
    73,142.02/109,713 = 25,745.95/x
  3. Step 3: Cross multiply
    73,142.02x = 109,713 × 25,745.95
  4. Step 4: Simplify right side
    73,142.02x = 2,824,665,412.35
  5. Step 5: Solve for x
    x = 2,824,665,412.35/73,142.02
  6. Step 6: Final answer
    x = 38,618.91

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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.