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Finding the Fourth Proportional to 38,661.97, 57,975.53 and 13,696.34

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Solution

The fourth proportional to 38,661.97, 57,975.53 and 13,696.34 is: 20,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.97 : 57,975.53 = 13,696.34 : x
  2. Step 2: Convert to fraction form
    38,661.97/57,975.53 = 13,696.34/x
  3. Step 3: Cross multiply
    38,661.97x = 57,975.53 × 13,696.34
  4. Step 4: Simplify right side
    38,661.97x = 794,052,834.91
  5. Step 5: Solve for x
    x = 794,052,834.91/38,661.97
  6. Step 6: Final answer
    x = 20,538.34

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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.