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Finding the Fourth Proportional to 50,647.37, 75,971.10 and 13,207.41

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Solution

The fourth proportional to 50,647.37, 75,971.10 and 13,207.41 is: 19,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.37 : 75,971.10 = 13,207.41 : x
  2. Step 2: Convert to fraction form
    50,647.37/75,971.10 = 13,207.41/x
  3. Step 3: Cross multiply
    50,647.37x = 75,971.10 × 13,207.41
  4. Step 4: Simplify right side
    50,647.37x = 1,003,381,465.85
  5. Step 5: Solve for x
    x = 1,003,381,465.85/50,647.37
  6. Step 6: Final answer
    x = 19,811.13

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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.