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Finding the Fourth Proportional to 32,823.48, 45,296.62 and 18,676.32

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Solution

The fourth proportional to 32,823.48, 45,296.62 and 18,676.32 is: 25,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.48 : 45,296.62 = 18,676.32 : x
  2. Step 2: Convert to fraction form
    32,823.48/45,296.62 = 18,676.32/x
  3. Step 3: Cross multiply
    32,823.48x = 45,296.62 × 18,676.32
  4. Step 4: Simplify right side
    32,823.48x = 845,974,170.04
  5. Step 5: Solve for x
    x = 845,974,170.04/32,823.48
  6. Step 6: Final answer
    x = 25,773.45

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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.