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Finding the Fourth Proportional to 81,930.69, 113,060.91 and 46,119.38

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Solution

The fourth proportional to 81,930.69, 113,060.91 and 46,119.38 is: 63,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.69 : 113,060.91 = 46,119.38 : x
  2. Step 2: Convert to fraction form
    81,930.69/113,060.91 = 46,119.38/x
  3. Step 3: Cross multiply
    81,930.69x = 113,060.91 × 46,119.38
  4. Step 4: Simplify right side
    81,930.69x = 5,214,298,679.08
  5. Step 5: Solve for x
    x = 5,214,298,679.08/81,930.69
  6. Step 6: Final answer
    x = 63,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.