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Finding the Fourth Proportional to 38,052.43, 57,091.74 and 17,007

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Solution

The fourth proportional to 38,052.43, 57,091.74 and 17,007 is: 25,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.43 : 57,091.74 = 17,007 : x
  2. Step 2: Convert to fraction form
    38,052.43/57,091.74 = 17,007/x
  3. Step 3: Cross multiply
    38,052.43x = 57,091.74 × 17,007
  4. Step 4: Simplify right side
    38,052.43x = 970,959,222.18
  5. Step 5: Solve for x
    x = 970,959,222.18/38,052.43
  6. Step 6: Final answer
    x = 25,516.35

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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.