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Finding the Fourth Proportional to 117,145.41, 175,696.90 and 32,884.85

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Solution

The fourth proportional to 117,145.41, 175,696.90 and 32,884.85 is: 49,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,145.41 : 175,696.90 = 32,884.85 : x
  2. Step 2: Convert to fraction form
    117,145.41/175,696.90 = 32,884.85/x
  3. Step 3: Cross multiply
    117,145.41x = 175,696.90 × 32,884.85
  4. Step 4: Simplify right side
    117,145.41x = 5,777,766,559.00
  5. Step 5: Solve for x
    x = 5,777,766,559.00/117,145.41
  6. Step 6: Final answer
    x = 49,321.32

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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.