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Finding the Fourth Proportional to 47,653.86, 65,765.27 and 27,514.42

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Solution

The fourth proportional to 47,653.86, 65,765.27 and 27,514.42 is: 37,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653.86 : 65,765.27 = 27,514.42 : x
  2. Step 2: Convert to fraction form
    47,653.86/65,765.27 = 27,514.42/x
  3. Step 3: Cross multiply
    47,653.86x = 65,765.27 × 27,514.42
  4. Step 4: Simplify right side
    47,653.86x = 1,809,493,260.19
  5. Step 5: Solve for x
    x = 1,809,493,260.19/47,653.86
  6. Step 6: Final answer
    x = 37,971.60

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