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Finding the Fourth Proportional to 32,808, 49,232.16 and 17,236.80

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Solution

The fourth proportional to 32,808, 49,232.16 and 17,236.80 is: 25,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808 : 49,232.16 = 17,236.80 : x
  2. Step 2: Convert to fraction form
    32,808/49,232.16 = 17,236.80/x
  3. Step 3: Cross multiply
    32,808x = 49,232.16 × 17,236.80
  4. Step 4: Simplify right side
    32,808x = 848,604,895.49
  5. Step 5: Solve for x
    x = 848,604,895.49/32,808
  6. Step 6: Final answer
    x = 25,865.79

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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.