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Finding the Fourth Proportional to 56,266.40, 84,388.80 and 16,824.80

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Solution

The fourth proportional to 56,266.40, 84,388.80 and 16,824.80 is: 25,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,266.40 : 84,388.80 = 16,824.80 : x
  2. Step 2: Convert to fraction form
    56,266.40/84,388.80 = 16,824.80/x
  3. Step 3: Cross multiply
    56,266.40x = 84,388.80 × 16,824.80
  4. Step 4: Simplify right side
    56,266.40x = 1,419,824,682.24
  5. Step 5: Solve for x
    x = 1,419,824,682.24/56,266.40
  6. Step 6: Final answer
    x = 25,233.97

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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.