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Finding the Fourth Proportional to 40,496.86, 60,745.03 and 13,829.98

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Solution

The fourth proportional to 40,496.86, 60,745.03 and 13,829.98 is: 20,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,496.86 : 60,745.03 = 13,829.98 : x
  2. Step 2: Convert to fraction form
    40,496.86/60,745.03 = 13,829.98/x
  3. Step 3: Cross multiply
    40,496.86x = 60,745.03 × 13,829.98
  4. Step 4: Simplify right side
    40,496.86x = 840,102,796.01
  5. Step 5: Solve for x
    x = 840,102,796.01/40,496.86
  6. Step 6: Final answer
    x = 20,744.89

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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.