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Finding the Fourth Proportional to 117,190.50, 175,785.80 and 32,959.61

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Solution

The fourth proportional to 117,190.50, 175,785.80 and 32,959.61 is: 49,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.50 : 175,785.80 = 32,959.61 : x
  2. Step 2: Convert to fraction form
    117,190.50/175,785.80 = 32,959.61/x
  3. Step 3: Cross multiply
    117,190.50x = 175,785.80 × 32,959.61
  4. Step 4: Simplify right side
    117,190.50x = 5,793,831,027.01
  5. Step 5: Solve for x
    x = 5,793,831,027.01/117,190.50
  6. Step 6: Final answer
    x = 49,439.43

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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.