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Finding the Fourth Proportional to 32,249.40, 48,382.86 and 13,519.60

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Solution

The fourth proportional to 32,249.40, 48,382.86 and 13,519.60 is: 20,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249.40 : 48,382.86 = 13,519.60 : x
  2. Step 2: Convert to fraction form
    32,249.40/48,382.86 = 13,519.60/x
  3. Step 3: Cross multiply
    32,249.40x = 48,382.86 × 13,519.60
  4. Step 4: Simplify right side
    32,249.40x = 654,116,914.06
  5. Step 5: Solve for x
    x = 654,116,914.06/32,249.40
  6. Step 6: Final answer
    x = 20,283.07

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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.