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Finding the Fourth Proportional to 38,942.56, 53,722 and 25,508

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Solution

The fourth proportional to 38,942.56, 53,722 and 25,508 is: 35,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,942.56 : 53,722 = 25,508 : x
  2. Step 2: Convert to fraction form
    38,942.56/53,722 = 25,508/x
  3. Step 3: Cross multiply
    38,942.56x = 53,722 × 25,508
  4. Step 4: Simplify right side
    38,942.56x = 1,370,340,776
  5. Step 5: Solve for x
    x = 1,370,340,776/38,942.56
  6. Step 6: Final answer
    x = 35,188.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.