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Finding the Fourth Proportional to 74,414.42, 102,690.17 and 40,422.14

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Solution

The fourth proportional to 74,414.42, 102,690.17 and 40,422.14 is: 55,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.42 : 102,690.17 = 40,422.14 : x
  2. Step 2: Convert to fraction form
    74,414.42/102,690.17 = 40,422.14/x
  3. Step 3: Cross multiply
    74,414.42x = 102,690.17 × 40,422.14
  4. Step 4: Simplify right side
    74,414.42x = 4,150,956,428.36
  5. Step 5: Solve for x
    x = 4,150,956,428.36/74,414.42
  6. Step 6: Final answer
    x = 55,781.62

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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.