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Finding the Fourth Proportional to 109,903.40, 164,855.10 and 31,016.60

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Solution

The fourth proportional to 109,903.40, 164,855.10 and 31,016.60 is: 46,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903.40 : 164,855.10 = 31,016.60 : x
  2. Step 2: Convert to fraction form
    109,903.40/164,855.10 = 31,016.60/x
  3. Step 3: Cross multiply
    109,903.40x = 164,855.10 × 31,016.60
  4. Step 4: Simplify right side
    109,903.40x = 5,113,244,694.66
  5. Step 5: Solve for x
    x = 5,113,244,694.66/109,903.40
  6. Step 6: Final answer
    x = 46,524.90

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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.