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Finding the Fourth Proportional to 65,170.48, 97,744.20 and 18,410.80

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Solution

The fourth proportional to 65,170.48, 97,744.20 and 18,410.80 is: 27,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.48 : 97,744.20 = 18,410.80 : x
  2. Step 2: Convert to fraction form
    65,170.48/97,744.20 = 18,410.80/x
  3. Step 3: Cross multiply
    65,170.48x = 97,744.20 × 18,410.80
  4. Step 4: Simplify right side
    65,170.48x = 1,799,548,917.36
  5. Step 5: Solve for x
    x = 1,799,548,917.36/65,170.48
  6. Step 6: Final answer
    x = 27,612.95

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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.