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Finding the Fourth Proportional to 32,550.94, 48,826.26 and 13,828.10

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Solution

The fourth proportional to 32,550.94, 48,826.26 and 13,828.10 is: 20,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.94 : 48,826.26 = 13,828.10 : x
  2. Step 2: Convert to fraction form
    32,550.94/48,826.26 = 13,828.10/x
  3. Step 3: Cross multiply
    32,550.94x = 48,826.26 × 13,828.10
  4. Step 4: Simplify right side
    32,550.94x = 675,174,405.91
  5. Step 5: Solve for x
    x = 675,174,405.91/32,550.94
  6. Step 6: Final answer
    x = 20,742.09

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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.