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Finding the Fourth Proportional to 74,119.58, 102,286.23 and 40,583.42

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Solution

The fourth proportional to 74,119.58, 102,286.23 and 40,583.42 is: 56,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,119.58 : 102,286.23 = 40,583.42 : x
  2. Step 2: Convert to fraction form
    74,119.58/102,286.23 = 40,583.42/x
  3. Step 3: Cross multiply
    74,119.58x = 102,286.23 × 40,583.42
  4. Step 4: Simplify right side
    74,119.58x = 4,151,125,032.31
  5. Step 5: Solve for x
    x = 4,151,125,032.31/74,119.58
  6. Step 6: Final answer
    x = 56,005.78

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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.