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Finding the Fourth Proportional to 33,102.60, 49,751.10 and 28,825.80

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Solution

The fourth proportional to 33,102.60, 49,751.10 and 28,825.80 is: 43,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.60 : 49,751.10 = 28,825.80 : x
  2. Step 2: Convert to fraction form
    33,102.60/49,751.10 = 28,825.80/x
  3. Step 3: Cross multiply
    33,102.60x = 49,751.10 × 28,825.80
  4. Step 4: Simplify right side
    33,102.60x = 1,434,115,258.38
  5. Step 5: Solve for x
    x = 1,434,115,258.38/33,102.60
  6. Step 6: Final answer
    x = 43,323.34

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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.