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Finding the Fourth Proportional to 117,446.60, 176,175.82 and 33,212.82

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Solution

The fourth proportional to 117,446.60, 176,175.82 and 33,212.82 is: 49,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,446.60 : 176,175.82 = 33,212.82 : x
  2. Step 2: Convert to fraction form
    117,446.60/176,175.82 = 33,212.82/x
  3. Step 3: Cross multiply
    117,446.60x = 176,175.82 × 33,212.82
  4. Step 4: Simplify right side
    117,446.60x = 5,851,295,798.01
  5. Step 5: Solve for x
    x = 5,851,295,798.01/117,446.60
  6. Step 6: Final answer
    x = 49,820.90

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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.