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Finding the Fourth Proportional to 37,745.40, 56,618.91 and 13,728.90

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Solution

The fourth proportional to 37,745.40, 56,618.91 and 13,728.90 is: 20,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.40 : 56,618.91 = 13,728.90 : x
  2. Step 2: Convert to fraction form
    37,745.40/56,618.91 = 13,728.90/x
  3. Step 3: Cross multiply
    37,745.40x = 56,618.91 × 13,728.90
  4. Step 4: Simplify right side
    37,745.40x = 777,315,353.50
  5. Step 5: Solve for x
    x = 777,315,353.50/37,745.40
  6. Step 6: Final answer
    x = 20,593.64

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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.