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Finding the Fourth Proportional to 37,186.60, 55,823.10 and 22,412.20

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Solution

The fourth proportional to 37,186.60, 55,823.10 and 22,412.20 is: 33,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186.60 : 55,823.10 = 22,412.20 : x
  2. Step 2: Convert to fraction form
    37,186.60/55,823.10 = 22,412.20/x
  3. Step 3: Cross multiply
    37,186.60x = 55,823.10 × 22,412.20
  4. Step 4: Simplify right side
    37,186.60x = 1,251,118,481.82
  5. Step 5: Solve for x
    x = 1,251,118,481.82/37,186.60
  6. Step 6: Final answer
    x = 33,644.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.