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Finding the Fourth Proportional to 30,761.64, 42,451.46 and 18,186.28

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Solution

The fourth proportional to 30,761.64, 42,451.46 and 18,186.28 is: 25,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.64 : 42,451.46 = 18,186.28 : x
  2. Step 2: Convert to fraction form
    30,761.64/42,451.46 = 18,186.28/x
  3. Step 3: Cross multiply
    30,761.64x = 42,451.46 × 18,186.28
  4. Step 4: Simplify right side
    30,761.64x = 772,034,137.97
  5. Step 5: Solve for x
    x = 772,034,137.97/30,761.64
  6. Step 6: Final answer
    x = 25,097.30

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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.