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Finding the Fourth Proportional to 81,930.81, 122,895.41 and 37,544.97

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Solution

The fourth proportional to 81,930.81, 122,895.41 and 37,544.97 is: 56,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.81 : 122,895.41 = 37,544.97 : x
  2. Step 2: Convert to fraction form
    81,930.81/122,895.41 = 37,544.97/x
  3. Step 3: Cross multiply
    81,930.81x = 122,895.41 × 37,544.97
  4. Step 4: Simplify right side
    81,930.81x = 4,614,104,293.86
  5. Step 5: Solve for x
    x = 4,614,104,293.86/81,930.81
  6. Step 6: Final answer
    x = 56,317.08

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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.