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Finding the Fourth Proportional to 33,894.31, 50,848.64 and 12,833.96

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Solution

The fourth proportional to 33,894.31, 50,848.64 and 12,833.96 is: 19,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.31 : 50,848.64 = 12,833.96 : x
  2. Step 2: Convert to fraction form
    33,894.31/50,848.64 = 12,833.96/x
  3. Step 3: Cross multiply
    33,894.31x = 50,848.64 × 12,833.96
  4. Step 4: Simplify right side
    33,894.31x = 652,589,411.81
  5. Step 5: Solve for x
    x = 652,589,411.81/33,894.31
  6. Step 6: Final answer
    x = 19,253.66

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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.