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Finding the Fourth Proportional to 109,791.87, 164,560.71 and 50,503.11

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Solution

The fourth proportional to 109,791.87, 164,560.71 and 50,503.11 is: 75,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,791.87 : 164,560.71 = 50,503.11 : x
  2. Step 2: Convert to fraction form
    109,791.87/164,560.71 = 50,503.11/x
  3. Step 3: Cross multiply
    109,791.87x = 164,560.71 × 50,503.11
  4. Step 4: Simplify right side
    109,791.87x = 8,310,827,638.81
  5. Step 5: Solve for x
    x = 8,310,827,638.81/109,791.87
  6. Step 6: Final answer
    x = 75,696.20

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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.