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Finding the Fourth Proportional to 117,452.40, 176,189.40 and 33,212.40

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Solution

The fourth proportional to 117,452.40, 176,189.40 and 33,212.40 is: 49,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,452.40 : 176,189.40 = 33,212.40 : x
  2. Step 2: Convert to fraction form
    117,452.40/176,189.40 = 33,212.40/x
  3. Step 3: Cross multiply
    117,452.40x = 176,189.40 × 33,212.40
  4. Step 4: Simplify right side
    117,452.40x = 5,851,672,828.56
  5. Step 5: Solve for x
    x = 5,851,672,828.56/117,452.40
  6. Step 6: Final answer
    x = 49,821.65

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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.