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Finding the Fourth Proportional to 117,947.80, 176,913.60 and 37,984.60

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Solution

The fourth proportional to 117,947.80, 176,913.60 and 37,984.60 is: 56,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,947.80 : 176,913.60 = 37,984.60 : x
  2. Step 2: Convert to fraction form
    117,947.80/176,913.60 = 37,984.60/x
  3. Step 3: Cross multiply
    117,947.80x = 176,913.60 × 37,984.60
  4. Step 4: Simplify right side
    117,947.80x = 6,719,992,330.56
  5. Step 5: Solve for x
    x = 6,719,992,330.56/117,947.80
  6. Step 6: Final answer
    x = 56,974.29

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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.