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Finding the Fourth Proportional to 33,457.40, 50,178 and 11,265.02

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Solution

The fourth proportional to 33,457.40, 50,178 and 11,265.02 is: 16,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.40 : 50,178 = 11,265.02 : x
  2. Step 2: Convert to fraction form
    33,457.40/50,178 = 11,265.02/x
  3. Step 3: Cross multiply
    33,457.40x = 50,178 × 11,265.02
  4. Step 4: Simplify right side
    33,457.40x = 565,256,173.56
  5. Step 5: Solve for x
    x = 565,256,173.56/33,457.40
  6. Step 6: Final answer
    x = 16,894.80

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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.