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Finding the Fourth Proportional to 32,401, 48,602.94 and 10,222.12

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Solution

The fourth proportional to 32,401, 48,602.94 and 10,222.12 is: 15,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401 : 48,602.94 = 10,222.12 : x
  2. Step 2: Convert to fraction form
    32,401/48,602.94 = 10,222.12/x
  3. Step 3: Cross multiply
    32,401x = 48,602.94 × 10,222.12
  4. Step 4: Simplify right side
    32,401x = 496,825,085.03
  5. Step 5: Solve for x
    x = 496,825,085.03/32,401
  6. Step 6: Final answer
    x = 15,333.63

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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.