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Finding the Fourth Proportional to 54,542.86, 81,765.04 and 37,910.72

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Solution

The fourth proportional to 54,542.86, 81,765.04 and 37,910.72 is: 56,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.86 : 81,765.04 = 37,910.72 : x
  2. Step 2: Convert to fraction form
    54,542.86/81,765.04 = 37,910.72/x
  3. Step 3: Cross multiply
    54,542.86x = 81,765.04 × 37,910.72
  4. Step 4: Simplify right side
    54,542.86x = 3,099,771,537.23
  5. Step 5: Solve for x
    x = 3,099,771,537.23/54,542.86
  6. Step 6: Final answer
    x = 56,831.85

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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.