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Finding the Fourth Proportional to 38,032, 57,055.60 and 11,735.75

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Solution

The fourth proportional to 38,032, 57,055.60 and 11,735.75 is: 17,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 57,055.60 = 11,735.75 : x
  2. Step 2: Convert to fraction form
    38,032/57,055.60 = 11,735.75/x
  3. Step 3: Cross multiply
    38,032x = 57,055.60 × 11,735.75
  4. Step 4: Simplify right side
    38,032x = 669,590,257.70
  5. Step 5: Solve for x
    x = 669,590,257.70/38,032
  6. Step 6: Final answer
    x = 17,605.97

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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.