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Finding the Fourth Proportional to 32,401, 48,491.76 and 19,928.94

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Solution

The fourth proportional to 32,401, 48,491.76 and 19,928.94 is: 29,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401 : 48,491.76 = 19,928.94 : x
  2. Step 2: Convert to fraction form
    32,401/48,491.76 = 19,928.94/x
  3. Step 3: Cross multiply
    32,401x = 48,491.76 × 19,928.94
  4. Step 4: Simplify right side
    32,401x = 966,389,375.53
  5. Step 5: Solve for x
    x = 966,389,375.53/32,401
  6. Step 6: Final answer
    x = 29,825.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.