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Finding the Fourth Proportional to 33,064, 49,599.18 and 10,877.44

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Solution

The fourth proportional to 33,064, 49,599.18 and 10,877.44 is: 16,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 49,599.18 = 10,877.44 : x
  2. Step 2: Convert to fraction form
    33,064/49,599.18 = 10,877.44/x
  3. Step 3: Cross multiply
    33,064x = 49,599.18 × 10,877.44
  4. Step 4: Simplify right side
    33,064x = 539,512,104.50
  5. Step 5: Solve for x
    x = 539,512,104.50/33,064
  6. Step 6: Final answer
    x = 16,317.21

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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.