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Finding the Fourth Proportional to 50,846.69, 76,261.37 and 13,407.13

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Solution

The fourth proportional to 50,846.69, 76,261.37 and 13,407.13 is: 20,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846.69 : 76,261.37 = 13,407.13 : x
  2. Step 2: Convert to fraction form
    50,846.69/76,261.37 = 13,407.13/x
  3. Step 3: Cross multiply
    50,846.69x = 76,261.37 × 13,407.13
  4. Step 4: Simplify right side
    50,846.69x = 1,022,446,129.86
  5. Step 5: Solve for x
    x = 1,022,446,129.86/50,846.69
  6. Step 6: Final answer
    x = 20,108.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.