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Finding the Fourth Proportional to 40,069.64, 55,297.08 and 22,165

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Solution

The fourth proportional to 40,069.64, 55,297.08 and 22,165 is: 30,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,069.64 : 55,297.08 = 22,165 : x
  2. Step 2: Convert to fraction form
    40,069.64/55,297.08 = 22,165/x
  3. Step 3: Cross multiply
    40,069.64x = 55,297.08 × 22,165
  4. Step 4: Simplify right side
    40,069.64x = 1,225,659,778.20
  5. Step 5: Solve for x
    x = 1,225,659,778.20/40,069.64
  6. Step 6: Final answer
    x = 30,588.24

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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.