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Finding the Fourth Proportional to 109,940.60, 164,894.70 and 31,062.80

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Solution

The fourth proportional to 109,940.60, 164,894.70 and 31,062.80 is: 46,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,940.60 : 164,894.70 = 31,062.80 : x
  2. Step 2: Convert to fraction form
    109,940.60/164,894.70 = 31,062.80/x
  3. Step 3: Cross multiply
    109,940.60x = 164,894.70 × 31,062.80
  4. Step 4: Simplify right side
    109,940.60x = 5,122,091,087.16
  5. Step 5: Solve for x
    x = 5,122,091,087.16/109,940.60
  6. Step 6: Final answer
    x = 46,589.62

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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.