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Finding the Fourth Proportional to 116,403.54, 174,605.30 and 33,297.54

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Solution

The fourth proportional to 116,403.54, 174,605.30 and 33,297.54 is: 49,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,403.54 : 174,605.30 = 33,297.54 : x
  2. Step 2: Convert to fraction form
    116,403.54/174,605.30 = 33,297.54/x
  3. Step 3: Cross multiply
    116,403.54x = 174,605.30 × 33,297.54
  4. Step 4: Simplify right side
    116,403.54x = 5,813,926,960.96
  5. Step 5: Solve for x
    x = 5,813,926,960.96/116,403.54
  6. Step 6: Final answer
    x = 49,946.31

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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.