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Finding the Fourth Proportional to 41,842.64, 57,742.65 and 22,722.26

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Solution

The fourth proportional to 41,842.64, 57,742.65 and 22,722.26 is: 31,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842.64 : 57,742.65 = 22,722.26 : x
  2. Step 2: Convert to fraction form
    41,842.64/57,742.65 = 22,722.26/x
  3. Step 3: Cross multiply
    41,842.64x = 57,742.65 × 22,722.26
  4. Step 4: Simplify right side
    41,842.64x = 1,312,043,506.39
  5. Step 5: Solve for x
    x = 1,312,043,506.39/41,842.64
  6. Step 6: Final answer
    x = 31,356.61

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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.