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Finding the Fourth Proportional to 116,969.82, 175,423.53 and 32,724.75

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Solution

The fourth proportional to 116,969.82, 175,423.53 and 32,724.75 is: 49,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,969.82 : 175,423.53 = 32,724.75 : x
  2. Step 2: Convert to fraction form
    116,969.82/175,423.53 = 32,724.75/x
  3. Step 3: Cross multiply
    116,969.82x = 175,423.53 × 32,724.75
  4. Step 4: Simplify right side
    116,969.82x = 5,740,691,163.37
  5. Step 5: Solve for x
    x = 5,740,691,163.37/116,969.82
  6. Step 6: Final answer
    x = 49,078.40

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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.