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Finding the Fourth Proportional to 27,742.40, 41,613.60 and 26,446.40

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Solution

The fourth proportional to 27,742.40, 41,613.60 and 26,446.40 is: 39,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.40 : 41,613.60 = 26,446.40 : x
  2. Step 2: Convert to fraction form
    27,742.40/41,613.60 = 26,446.40/x
  3. Step 3: Cross multiply
    27,742.40x = 41,613.60 × 26,446.40
  4. Step 4: Simplify right side
    27,742.40x = 1,100,529,911.04
  5. Step 5: Solve for x
    x = 1,100,529,911.04/27,742.40
  6. Step 6: Final answer
    x = 39,669.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.