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Finding the Fourth Proportional to 38,136.69, 52,570.31 and 26,774.33

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Solution

The fourth proportional to 38,136.69, 52,570.31 and 26,774.33 is: 36,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136.69 : 52,570.31 = 26,774.33 : x
  2. Step 2: Convert to fraction form
    38,136.69/52,570.31 = 26,774.33/x
  3. Step 3: Cross multiply
    38,136.69x = 52,570.31 × 26,774.33
  4. Step 4: Simplify right side
    38,136.69x = 1,407,534,431.42
  5. Step 5: Solve for x
    x = 1,407,534,431.42/38,136.69
  6. Step 6: Final answer
    x = 36,907.62

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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.