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Finding the Fourth Proportional to 38,034.36, 57,057.72 and 11,733

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Solution

The fourth proportional to 38,034.36, 57,057.72 and 11,733 is: 17,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034.36 : 57,057.72 = 11,733 : x
  2. Step 2: Convert to fraction form
    38,034.36/57,057.72 = 11,733/x
  3. Step 3: Cross multiply
    38,034.36x = 57,057.72 × 11,733
  4. Step 4: Simplify right side
    38,034.36x = 669,458,228.76
  5. Step 5: Solve for x
    x = 669,458,228.76/38,034.36
  6. Step 6: Final answer
    x = 17,601.41

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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.