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Finding the Fourth Proportional to 41,866.96, 57,776.38 and 23,005.30

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Solution

The fourth proportional to 41,866.96, 57,776.38 and 23,005.30 is: 31,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866.96 : 57,776.38 = 23,005.30 : x
  2. Step 2: Convert to fraction form
    41,866.96/57,776.38 = 23,005.30/x
  3. Step 3: Cross multiply
    41,866.96x = 57,776.38 × 23,005.30
  4. Step 4: Simplify right side
    41,866.96x = 1,329,162,665.93
  5. Step 5: Solve for x
    x = 1,329,162,665.93/41,866.96
  6. Step 6: Final answer
    x = 31,747.30

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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.