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Finding the Fourth Proportional to 41,284, 56,971.92 and 22,421.28

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Solution

The fourth proportional to 41,284, 56,971.92 and 22,421.28 is: 30,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284 : 56,971.92 = 22,421.28 : x
  2. Step 2: Convert to fraction form
    41,284/56,971.92 = 22,421.28/x
  3. Step 3: Cross multiply
    41,284x = 56,971.92 × 22,421.28
  4. Step 4: Simplify right side
    41,284x = 1,277,383,370.46
  5. Step 5: Solve for x
    x = 1,277,383,370.46/41,284
  6. Step 6: Final answer
    x = 30,941.37

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