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Finding the Fourth Proportional to 50,965.40, 76,448.10 and 13,525.40

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Solution

The fourth proportional to 50,965.40, 76,448.10 and 13,525.40 is: 20,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.40 : 76,448.10 = 13,525.40 : x
  2. Step 2: Convert to fraction form
    50,965.40/76,448.10 = 13,525.40/x
  3. Step 3: Cross multiply
    50,965.40x = 76,448.10 × 13,525.40
  4. Step 4: Simplify right side
    50,965.40x = 1,033,991,131.74
  5. Step 5: Solve for x
    x = 1,033,991,131.74/50,965.40
  6. Step 6: Final answer
    x = 20,288.10

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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.