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Finding the Fourth Proportional to 47,796.14, 65,962.14 and 28,676.74

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Solution

The fourth proportional to 47,796.14, 65,962.14 and 28,676.74 is: 39,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.14 : 65,962.14 = 28,676.74 : x
  2. Step 2: Convert to fraction form
    47,796.14/65,962.14 = 28,676.74/x
  3. Step 3: Cross multiply
    47,796.14x = 65,962.14 × 28,676.74
  4. Step 4: Simplify right side
    47,796.14x = 1,891,579,138.62
  5. Step 5: Solve for x
    x = 1,891,579,138.62/47,796.14
  6. Step 6: Final answer
    x = 39,575.98

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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.