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Finding the Fourth Proportional to 109,946.80, 164,898.60 and 36,074.80

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Solution

The fourth proportional to 109,946.80, 164,898.60 and 36,074.80 is: 54,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946.80 : 164,898.60 = 36,074.80 : x
  2. Step 2: Convert to fraction form
    109,946.80/164,898.60 = 36,074.80/x
  3. Step 3: Cross multiply
    109,946.80x = 164,898.60 × 36,074.80
  4. Step 4: Simplify right side
    109,946.80x = 5,948,684,015.28
  5. Step 5: Solve for x
    x = 5,948,684,015.28/109,946.80
  6. Step 6: Final answer
    x = 54,105.11

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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.