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Finding the Fourth Proportional to 40,141.84, 55,397.64 and 23,380.24

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Solution

The fourth proportional to 40,141.84, 55,397.64 and 23,380.24 is: 32,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,141.84 : 55,397.64 = 23,380.24 : x
  2. Step 2: Convert to fraction form
    40,141.84/55,397.64 = 23,380.24/x
  3. Step 3: Cross multiply
    40,141.84x = 55,397.64 × 23,380.24
  4. Step 4: Simplify right side
    40,141.84x = 1,295,210,118.63
  5. Step 5: Solve for x
    x = 1,295,210,118.63/40,141.84
  6. Step 6: Final answer
    x = 32,265.84

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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.