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Finding the Fourth Proportional to 30,635.80, 45,959.84 and 13,991.36

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Solution

The fourth proportional to 30,635.80, 45,959.84 and 13,991.36 is: 20,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.80 : 45,959.84 = 13,991.36 : x
  2. Step 2: Convert to fraction form
    30,635.80/45,959.84 = 13,991.36/x
  3. Step 3: Cross multiply
    30,635.80x = 45,959.84 × 13,991.36
  4. Step 4: Simplify right side
    30,635.80x = 643,040,666.98
  5. Step 5: Solve for x
    x = 643,040,666.98/30,635.80
  6. Step 6: Final answer
    x = 20,989.84

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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.