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Finding the Fourth Proportional to 47,514.32, 65,565 and 27,370.96

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Solution

The fourth proportional to 47,514.32, 65,565 and 27,370.96 is: 37,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,514.32 : 65,565 = 27,370.96 : x
  2. Step 2: Convert to fraction form
    47,514.32/65,565 = 27,370.96/x
  3. Step 3: Cross multiply
    47,514.32x = 65,565 × 27,370.96
  4. Step 4: Simplify right side
    47,514.32x = 1,794,576,992.40
  5. Step 5: Solve for x
    x = 1,794,576,992.40/47,514.32
  6. Step 6: Final answer
    x = 37,769.18

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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.