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Finding the Fourth Proportional to 57,424.64, 86,136.96 and 33,980

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Solution

The fourth proportional to 57,424.64, 86,136.96 and 33,980 is: 50,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,424.64 : 86,136.96 = 33,980 : x
  2. Step 2: Convert to fraction form
    57,424.64/86,136.96 = 33,980/x
  3. Step 3: Cross multiply
    57,424.64x = 86,136.96 × 33,980
  4. Step 4: Simplify right side
    57,424.64x = 2,926,933,900.80
  5. Step 5: Solve for x
    x = 2,926,933,900.80/57,424.64
  6. Step 6: Final answer
    x = 50,970.00

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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.