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Finding the Fourth Proportional to 109,669.20, 164,503.80 and 30,796.80

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Solution

The fourth proportional to 109,669.20, 164,503.80 and 30,796.80 is: 46,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,669.20 : 164,503.80 = 30,796.80 : x
  2. Step 2: Convert to fraction form
    109,669.20/164,503.80 = 30,796.80/x
  3. Step 3: Cross multiply
    109,669.20x = 164,503.80 × 30,796.80
  4. Step 4: Simplify right side
    109,669.20x = 5,066,190,627.84
  5. Step 5: Solve for x
    x = 5,066,190,627.84/109,669.20
  6. Step 6: Final answer
    x = 46,195.20

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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.