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Finding the Fourth Proportional to 34,007.64, 50,953.89 and 20,832.51

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Solution

The fourth proportional to 34,007.64, 50,953.89 and 20,832.51 is: 31,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.64 : 50,953.89 = 20,832.51 : x
  2. Step 2: Convert to fraction form
    34,007.64/50,953.89 = 20,832.51/x
  3. Step 3: Cross multiply
    34,007.64x = 50,953.89 × 20,832.51
  4. Step 4: Simplify right side
    34,007.64x = 1,061,497,422.96
  5. Step 5: Solve for x
    x = 1,061,497,422.96/34,007.64
  6. Step 6: Final answer
    x = 31,213.50

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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.