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Finding the Fourth Proportional to 40,684.76, 56,142.14 and 27,253.84

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Solution

The fourth proportional to 40,684.76, 56,142.14 and 27,253.84 is: 37,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,684.76 : 56,142.14 = 27,253.84 : x
  2. Step 2: Convert to fraction form
    40,684.76/56,142.14 = 27,253.84/x
  3. Step 3: Cross multiply
    40,684.76x = 56,142.14 × 27,253.84
  4. Step 4: Simplify right side
    40,684.76x = 1,530,088,900.82
  5. Step 5: Solve for x
    x = 1,530,088,900.82/40,684.76
  6. Step 6: Final answer
    x = 37,608.40

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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.