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Finding the Fourth Proportional to 37,187.94, 55,788.80 and 12,235.22

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Solution

The fourth proportional to 37,187.94, 55,788.80 and 12,235.22 is: 18,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,187.94 : 55,788.80 = 12,235.22 : x
  2. Step 2: Convert to fraction form
    37,187.94/55,788.80 = 12,235.22/x
  3. Step 3: Cross multiply
    37,187.94x = 55,788.80 × 12,235.22
  4. Step 4: Simplify right side
    37,187.94x = 682,588,241.54
  5. Step 5: Solve for x
    x = 682,588,241.54/37,187.94
  6. Step 6: Final answer
    x = 18,355.10

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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.