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Finding the Fourth Proportional to 32,826.96, 45,296.64 and 18,678.24

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Solution

The fourth proportional to 32,826.96, 45,296.64 and 18,678.24 is: 25,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826.96 : 45,296.64 = 18,678.24 : x
  2. Step 2: Convert to fraction form
    32,826.96/45,296.64 = 18,678.24/x
  3. Step 3: Cross multiply
    32,826.96x = 45,296.64 × 18,678.24
  4. Step 4: Simplify right side
    32,826.96x = 846,061,513.11
  5. Step 5: Solve for x
    x = 846,061,513.11/32,826.96
  6. Step 6: Final answer
    x = 25,773.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.