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Finding the Fourth Proportional to 74,286.45, 102,522.30 and 42,449.16

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Solution

The fourth proportional to 74,286.45, 102,522.30 and 42,449.16 is: 58,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,286.45 : 102,522.30 = 42,449.16 : x
  2. Step 2: Convert to fraction form
    74,286.45/102,522.30 = 42,449.16/x
  3. Step 3: Cross multiply
    74,286.45x = 102,522.30 × 42,449.16
  4. Step 4: Simplify right side
    74,286.45x = 4,351,985,516.27
  5. Step 5: Solve for x
    x = 4,351,985,516.27/74,286.45
  6. Step 6: Final answer
    x = 58,583.84

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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.