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Finding the Fourth Proportional to 32,415.36, 48,616.83 and 13,689.24

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Solution

The fourth proportional to 32,415.36, 48,616.83 and 13,689.24 is: 20,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.36 : 48,616.83 = 13,689.24 : x
  2. Step 2: Convert to fraction form
    32,415.36/48,616.83 = 13,689.24/x
  3. Step 3: Cross multiply
    32,415.36x = 48,616.83 × 13,689.24
  4. Step 4: Simplify right side
    32,415.36x = 665,527,453.91
  5. Step 5: Solve for x
    x = 665,527,453.91/32,415.36
  6. Step 6: Final answer
    x = 20,531.24

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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.