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Finding the Fourth Proportional to 40,196.64, 55,471.32 and 22,291.68

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Solution

The fourth proportional to 40,196.64, 55,471.32 and 22,291.68 is: 30,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.64 : 55,471.32 = 22,291.68 : x
  2. Step 2: Convert to fraction form
    40,196.64/55,471.32 = 22,291.68/x
  3. Step 3: Cross multiply
    40,196.64x = 55,471.32 × 22,291.68
  4. Step 4: Simplify right side
    40,196.64x = 1,236,548,914.62
  5. Step 5: Solve for x
    x = 1,236,548,914.62/40,196.64
  6. Step 6: Final answer
    x = 30,762.49

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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.