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Finding the Fourth Proportional to 37,242.72, 55,858.32 and 24,187.68

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Solution

The fourth proportional to 37,242.72, 55,858.32 and 24,187.68 is: 36,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242.72 : 55,858.32 = 24,187.68 : x
  2. Step 2: Convert to fraction form
    37,242.72/55,858.32 = 24,187.68/x
  3. Step 3: Cross multiply
    37,242.72x = 55,858.32 × 24,187.68
  4. Step 4: Simplify right side
    37,242.72x = 1,351,083,169.50
  5. Step 5: Solve for x
    x = 1,351,083,169.50/37,242.72
  6. Step 6: Final answer
    x = 36,277.78

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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.