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Finding the Fourth Proportional to 32,447.33, 48,674.46 and 13,729.26

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Solution

The fourth proportional to 32,447.33, 48,674.46 and 13,729.26 is: 20,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.33 : 48,674.46 = 13,729.26 : x
  2. Step 2: Convert to fraction form
    32,447.33/48,674.46 = 13,729.26/x
  3. Step 3: Cross multiply
    32,447.33x = 48,674.46 × 13,729.26
  4. Step 4: Simplify right side
    32,447.33x = 668,264,316.70
  5. Step 5: Solve for x
    x = 668,264,316.70/32,447.33
  6. Step 6: Final answer
    x = 20,595.36

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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.