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Finding the Fourth Proportional to 32,446.41, 48,676.11 and 13,726.38

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Solution

The fourth proportional to 32,446.41, 48,676.11 and 13,726.38 is: 20,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.41 : 48,676.11 = 13,726.38 : x
  2. Step 2: Convert to fraction form
    32,446.41/48,676.11 = 13,726.38/x
  3. Step 3: Cross multiply
    32,446.41x = 48,676.11 × 13,726.38
  4. Step 4: Simplify right side
    32,446.41x = 668,146,782.78
  5. Step 5: Solve for x
    x = 668,146,782.78/32,446.41
  6. Step 6: Final answer
    x = 20,592.32

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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.