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Finding the Fourth Proportional to 96,647.36, 144,975.90 and 33,470.60

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Solution

The fourth proportional to 96,647.36, 144,975.90 and 33,470.60 is: 50,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,647.36 : 144,975.90 = 33,470.60 : x
  2. Step 2: Convert to fraction form
    96,647.36/144,975.90 = 33,470.60/x
  3. Step 3: Cross multiply
    96,647.36x = 144,975.90 × 33,470.60
  4. Step 4: Simplify right side
    96,647.36x = 4,852,430,358.54
  5. Step 5: Solve for x
    x = 4,852,430,358.54/96,647.36
  6. Step 6: Final answer
    x = 50,207.58

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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.