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Finding the Fourth Proportional to 27,047.25, 40,535.53 and 19,575.97

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Solution

The fourth proportional to 27,047.25, 40,535.53 and 19,575.97 is: 29,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.25 : 40,535.53 = 19,575.97 : x
  2. Step 2: Convert to fraction form
    27,047.25/40,535.53 = 19,575.97/x
  3. Step 3: Cross multiply
    27,047.25x = 40,535.53 × 19,575.97
  4. Step 4: Simplify right side
    27,047.25x = 793,522,116.54
  5. Step 5: Solve for x
    x = 793,522,116.54/27,047.25
  6. Step 6: Final answer
    x = 29,338.37

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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.