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Finding the Fourth Proportional to 74,034.64, 102,170.22 and 40,500.64

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Solution

The fourth proportional to 74,034.64, 102,170.22 and 40,500.64 is: 55,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034.64 : 102,170.22 = 40,500.64 : x
  2. Step 2: Convert to fraction form
    74,034.64/102,170.22 = 40,500.64/x
  3. Step 3: Cross multiply
    74,034.64x = 102,170.22 × 40,500.64
  4. Step 4: Simplify right side
    74,034.64x = 4,137,959,298.94
  5. Step 5: Solve for x
    x = 4,137,959,298.94/74,034.64
  6. Step 6: Final answer
    x = 55,892.21

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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.