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Finding the Fourth Proportional to 32,824.40, 45,297.12 and 18,676.96

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Solution

The fourth proportional to 32,824.40, 45,297.12 and 18,676.96 is: 25,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824.40 : 45,297.12 = 18,676.96 : x
  2. Step 2: Convert to fraction form
    32,824.40/45,297.12 = 18,676.96/x
  3. Step 3: Cross multiply
    32,824.40x = 45,297.12 × 18,676.96
  4. Step 4: Simplify right side
    32,824.40x = 846,012,498.36
  5. Step 5: Solve for x
    x = 846,012,498.36/32,824.40
  6. Step 6: Final answer
    x = 25,773.89

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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.