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Finding the Fourth Proportional to 37,107.60, 55,661.40 and 33,349.20

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Solution

The fourth proportional to 37,107.60, 55,661.40 and 33,349.20 is: 50,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107.60 : 55,661.40 = 33,349.20 : x
  2. Step 2: Convert to fraction form
    37,107.60/55,661.40 = 33,349.20/x
  3. Step 3: Cross multiply
    37,107.60x = 55,661.40 × 33,349.20
  4. Step 4: Simplify right side
    37,107.60x = 1,856,263,160.88
  5. Step 5: Solve for x
    x = 1,856,263,160.88/37,107.60
  6. Step 6: Final answer
    x = 50,023.80

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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.