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Finding the Fourth Proportional to 116,292.25, 174,440 and 33,186.25

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Solution

The fourth proportional to 116,292.25, 174,440 and 33,186.25 is: 49,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,292.25 : 174,440 = 33,186.25 : x
  2. Step 2: Convert to fraction form
    116,292.25/174,440 = 33,186.25/x
  3. Step 3: Cross multiply
    116,292.25x = 174,440 × 33,186.25
  4. Step 4: Simplify right side
    116,292.25x = 5,789,009,450
  5. Step 5: Solve for x
    x = 5,789,009,450/116,292.25
  6. Step 6: Final answer
    x = 49,779.84

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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.