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Finding the Fourth Proportional to 50,645.36, 75,968.10 and 13,205.40

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Solution

The fourth proportional to 50,645.36, 75,968.10 and 13,205.40 is: 19,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.36 : 75,968.10 = 13,205.40 : x
  2. Step 2: Convert to fraction form
    50,645.36/75,968.10 = 13,205.40/x
  3. Step 3: Cross multiply
    50,645.36x = 75,968.10 × 13,205.40
  4. Step 4: Simplify right side
    50,645.36x = 1,003,189,540.98
  5. Step 5: Solve for x
    x = 1,003,189,540.98/50,645.36
  6. Step 6: Final answer
    x = 19,808.12

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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.