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Finding the Fourth Proportional to 32,414.94, 48,601.95 and 13,685.28

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Solution

The fourth proportional to 32,414.94, 48,601.95 and 13,685.28 is: 20,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.94 : 48,601.95 = 13,685.28 : x
  2. Step 2: Convert to fraction form
    32,414.94/48,601.95 = 13,685.28/x
  3. Step 3: Cross multiply
    32,414.94x = 48,601.95 × 13,685.28
  4. Step 4: Simplify right side
    32,414.94x = 665,131,294.30
  5. Step 5: Solve for x
    x = 665,131,294.30/32,414.94
  6. Step 6: Final answer
    x = 20,519.28

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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.