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Finding the Fourth Proportional to 109,941.40, 164,912.10 and 50,892.40

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Solution

The fourth proportional to 109,941.40, 164,912.10 and 50,892.40 is: 76,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,941.40 : 164,912.10 = 50,892.40 : x
  2. Step 2: Convert to fraction form
    109,941.40/164,912.10 = 50,892.40/x
  3. Step 3: Cross multiply
    109,941.40x = 164,912.10 × 50,892.40
  4. Step 4: Simplify right side
    109,941.40x = 8,392,772,558.04
  5. Step 5: Solve for x
    x = 8,392,772,558.04/109,941.40
  6. Step 6: Final answer
    x = 76,338.60

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Why These Related Problems?

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