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Finding the Fourth Proportional to 38,536.65, 53,202.53 and 25,811.38

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Solution

The fourth proportional to 38,536.65, 53,202.53 and 25,811.38 is: 35,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.65 : 53,202.53 = 25,811.38 : x
  2. Step 2: Convert to fraction form
    38,536.65/53,202.53 = 25,811.38/x
  3. Step 3: Cross multiply
    38,536.65x = 53,202.53 × 25,811.38
  4. Step 4: Simplify right side
    38,536.65x = 1,373,231,035.75
  5. Step 5: Solve for x
    x = 1,373,231,035.75/38,536.65
  6. Step 6: Final answer
    x = 35,634.42

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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.