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Finding the Fourth Proportional to 109,684.20, 164,394 and 50,438.64

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Solution

The fourth proportional to 109,684.20, 164,394 and 50,438.64 is: 75,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,684.20 : 164,394 = 50,438.64 : x
  2. Step 2: Convert to fraction form
    109,684.20/164,394 = 50,438.64/x
  3. Step 3: Cross multiply
    109,684.20x = 164,394 × 50,438.64
  4. Step 4: Simplify right side
    109,684.20x = 8,291,809,784.16
  5. Step 5: Solve for x
    x = 8,291,809,784.16/109,684.20
  6. Step 6: Final answer
    x = 75,597.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.