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Finding the Fourth Proportional to 41,862, 57,768 and 22,740.96

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Solution

The fourth proportional to 41,862, 57,768 and 22,740.96 is: 31,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,862 : 57,768 = 22,740.96 : x
  2. Step 2: Convert to fraction form
    41,862/57,768 = 22,740.96/x
  3. Step 3: Cross multiply
    41,862x = 57,768 × 22,740.96
  4. Step 4: Simplify right side
    41,862x = 1,313,699,777.28
  5. Step 5: Solve for x
    x = 1,313,699,777.28/41,862
  6. Step 6: Final answer
    x = 31,381.68

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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.