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Finding the Fourth Proportional to 33,184.19, 50,026.44 and 31,043.67

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Solution

The fourth proportional to 33,184.19, 50,026.44 and 31,043.67 is: 46,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.19 : 50,026.44 = 31,043.67 : x
  2. Step 2: Convert to fraction form
    33,184.19/50,026.44 = 31,043.67/x
  3. Step 3: Cross multiply
    33,184.19x = 50,026.44 × 31,043.67
  4. Step 4: Simplify right side
    33,184.19x = 1,553,004,277.43
  5. Step 5: Solve for x
    x = 1,553,004,277.43/33,184.19
  6. Step 6: Final answer
    x = 46,799.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.