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Finding the Fourth Proportional to 52,495.98, 78,789.46 and 27,553.64

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Solution

The fourth proportional to 52,495.98, 78,789.46 and 27,553.64 is: 41,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.98 : 78,789.46 = 27,553.64 : x
  2. Step 2: Convert to fraction form
    52,495.98/78,789.46 = 27,553.64/x
  3. Step 3: Cross multiply
    52,495.98x = 78,789.46 × 27,553.64
  4. Step 4: Simplify right side
    52,495.98x = 2,170,936,416.63
  5. Step 5: Solve for x
    x = 2,170,936,416.63/52,495.98
  6. Step 6: Final answer
    x = 41,354.34

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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.