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Finding the Fourth Proportional to 34,761, 51,694.32 and 33,653.85

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Solution

The fourth proportional to 34,761, 51,694.32 and 33,653.85 is: 50,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761 : 51,694.32 = 33,653.85 : x
  2. Step 2: Convert to fraction form
    34,761/51,694.32 = 33,653.85/x
  3. Step 3: Cross multiply
    34,761x = 51,694.32 × 33,653.85
  4. Step 4: Simplify right side
    34,761x = 1,739,712,891.13
  5. Step 5: Solve for x
    x = 1,739,712,891.13/34,761
  6. Step 6: Final answer
    x = 50,047.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.