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Finding the Fourth Proportional to 40,446.74, 55,814.52 and 22,538.40

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Solution

The fourth proportional to 40,446.74, 55,814.52 and 22,538.40 is: 31,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446.74 : 55,814.52 = 22,538.40 : x
  2. Step 2: Convert to fraction form
    40,446.74/55,814.52 = 22,538.40/x
  3. Step 3: Cross multiply
    40,446.74x = 55,814.52 × 22,538.40
  4. Step 4: Simplify right side
    40,446.74x = 1,257,970,039.96
  5. Step 5: Solve for x
    x = 1,257,970,039.96/40,446.74
  6. Step 6: Final answer
    x = 31,101.89

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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.