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Finding the Fourth Proportional to 111,947.60, 167,959.80 and 49,662.80

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Solution

The fourth proportional to 111,947.60, 167,959.80 and 49,662.80 is: 74,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,947.60 : 167,959.80 = 49,662.80 : x
  2. Step 2: Convert to fraction form
    111,947.60/167,959.80 = 49,662.80/x
  3. Step 3: Cross multiply
    111,947.60x = 167,959.80 × 49,662.80
  4. Step 4: Simplify right side
    111,947.60x = 8,341,353,955.44
  5. Step 5: Solve for x
    x = 8,341,353,955.44/111,947.60
  6. Step 6: Final answer
    x = 74,511.24

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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.