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Finding the Fourth Proportional to 86,448.25, 129,622.56 and 33,829.03

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Solution

The fourth proportional to 86,448.25, 129,622.56 and 33,829.03 is: 50,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,448.25 : 129,622.56 = 33,829.03 : x
  2. Step 2: Convert to fraction form
    86,448.25/129,622.56 = 33,829.03/x
  3. Step 3: Cross multiply
    86,448.25x = 129,622.56 × 33,829.03
  4. Step 4: Simplify right side
    86,448.25x = 4,385,005,470.92
  5. Step 5: Solve for x
    x = 4,385,005,470.92/86,448.25
  6. Step 6: Final answer
    x = 50,724.05

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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.