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Finding the Fourth Proportional to 41,882.86, 57,798.92 and 22,763.01

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Solution

The fourth proportional to 41,882.86, 57,798.92 and 22,763.01 is: 31,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.86 : 57,798.92 = 22,763.01 : x
  2. Step 2: Convert to fraction form
    41,882.86/57,798.92 = 22,763.01/x
  3. Step 3: Cross multiply
    41,882.86x = 57,798.92 × 22,763.01
  4. Step 4: Simplify right side
    41,882.86x = 1,315,677,214.44
  5. Step 5: Solve for x
    x = 1,315,677,214.44/41,882.86
  6. Step 6: Final answer
    x = 31,413.26

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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.