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Finding the Fourth Proportional to 47,676.38, 65,805.49 and 32,575.14

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Solution

The fourth proportional to 47,676.38, 65,805.49 and 32,575.14 is: 44,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.38 : 65,805.49 = 32,575.14 : x
  2. Step 2: Convert to fraction form
    47,676.38/65,805.49 = 32,575.14/x
  3. Step 3: Cross multiply
    47,676.38x = 65,805.49 × 32,575.14
  4. Step 4: Simplify right side
    47,676.38x = 2,143,622,968.08
  5. Step 5: Solve for x
    x = 2,143,622,968.08/47,676.38
  6. Step 6: Final answer
    x = 44,961.95

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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.