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Finding the Fourth Proportional to 32,447.35, 48,677.03 and 10,266.31

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Solution

The fourth proportional to 32,447.35, 48,677.03 and 10,266.31 is: 15,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.35 : 48,677.03 = 10,266.31 : x
  2. Step 2: Convert to fraction form
    32,447.35/48,677.03 = 10,266.31/x
  3. Step 3: Cross multiply
    32,447.35x = 48,677.03 × 10,266.31
  4. Step 4: Simplify right side
    32,447.35x = 499,733,185.14
  5. Step 5: Solve for x
    x = 499,733,185.14/32,447.35
  6. Step 6: Final answer
    x = 15,401.36

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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.