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Finding the Fourth Proportional to 38,463, 57,696.66 and 10,763.16

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Solution

The fourth proportional to 38,463, 57,696.66 and 10,763.16 is: 16,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463 : 57,696.66 = 10,763.16 : x
  2. Step 2: Convert to fraction form
    38,463/57,696.66 = 10,763.16/x
  3. Step 3: Cross multiply
    38,463x = 57,696.66 × 10,763.16
  4. Step 4: Simplify right side
    38,463x = 620,998,383.05
  5. Step 5: Solve for x
    x = 620,998,383.05/38,463
  6. Step 6: Final answer
    x = 16,145.34

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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.