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Finding the Fourth Proportional to 37,190.60, 55,829.10 and 22,416.20

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Solution

The fourth proportional to 37,190.60, 55,829.10 and 22,416.20 is: 33,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190.60 : 55,829.10 = 22,416.20 : x
  2. Step 2: Convert to fraction form
    37,190.60/55,829.10 = 22,416.20/x
  3. Step 3: Cross multiply
    37,190.60x = 55,829.10 × 22,416.20
  4. Step 4: Simplify right side
    37,190.60x = 1,251,476,271.42
  5. Step 5: Solve for x
    x = 1,251,476,271.42/37,190.60
  6. Step 6: Final answer
    x = 33,650.34

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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.