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Finding the Fourth Proportional to 38,635.56, 57,933.66 and 17,841

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Solution

The fourth proportional to 38,635.56, 57,933.66 and 17,841 is: 26,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,635.56 : 57,933.66 = 17,841 : x
  2. Step 2: Convert to fraction form
    38,635.56/57,933.66 = 17,841/x
  3. Step 3: Cross multiply
    38,635.56x = 57,933.66 × 17,841
  4. Step 4: Simplify right side
    38,635.56x = 1,033,594,428.06
  5. Step 5: Solve for x
    x = 1,033,594,428.06/38,635.56
  6. Step 6: Final answer
    x = 26,752.41

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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.