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Finding the Fourth Proportional to 51,961.72, 77,815 and 33,186.32

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Solution

The fourth proportional to 51,961.72, 77,815 and 33,186.32 is: 49,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961.72 : 77,815 = 33,186.32 : x
  2. Step 2: Convert to fraction form
    51,961.72/77,815 = 33,186.32/x
  3. Step 3: Cross multiply
    51,961.72x = 77,815 × 33,186.32
  4. Step 4: Simplify right side
    51,961.72x = 2,582,393,490.80
  5. Step 5: Solve for x
    x = 2,582,393,490.80/51,961.72
  6. Step 6: Final answer
    x = 49,698.00

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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.