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Finding the Fourth Proportional to 33,159.82, 49,742.97 and 9,792.94

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Solution

The fourth proportional to 33,159.82, 49,742.97 and 9,792.94 is: 14,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,159.82 : 49,742.97 = 9,792.94 : x
  2. Step 2: Convert to fraction form
    33,159.82/49,742.97 = 9,792.94/x
  3. Step 3: Cross multiply
    33,159.82x = 49,742.97 × 9,792.94
  4. Step 4: Simplify right side
    33,159.82x = 487,129,920.63
  5. Step 5: Solve for x
    x = 487,129,920.63/33,159.82
  6. Step 6: Final answer
    x = 14,690.37

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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.