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Finding the Fourth Proportional to 52,164.64, 78,262.56 and 36,996.44

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Solution

The fourth proportional to 52,164.64, 78,262.56 and 36,996.44 is: 55,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.64 : 78,262.56 = 36,996.44 : x
  2. Step 2: Convert to fraction form
    52,164.64/78,262.56 = 36,996.44/x
  3. Step 3: Cross multiply
    52,164.64x = 78,262.56 × 36,996.44
  4. Step 4: Simplify right side
    52,164.64x = 2,895,436,105.29
  5. Step 5: Solve for x
    x = 2,895,436,105.29/52,164.64
  6. Step 6: Final answer
    x = 55,505.72

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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.