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Finding the Fourth Proportional to 35,180.80, 52,771.20 and 14,419.20

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Solution

The fourth proportional to 35,180.80, 52,771.20 and 14,419.20 is: 21,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180.80 : 52,771.20 = 14,419.20 : x
  2. Step 2: Convert to fraction form
    35,180.80/52,771.20 = 14,419.20/x
  3. Step 3: Cross multiply
    35,180.80x = 52,771.20 × 14,419.20
  4. Step 4: Simplify right side
    35,180.80x = 760,918,487.04
  5. Step 5: Solve for x
    x = 760,918,487.04/35,180.80
  6. Step 6: Final answer
    x = 21,628.80

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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.