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Finding the Fourth Proportional to 33,918, 50,878.44 and 9,294

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Solution

The fourth proportional to 33,918, 50,878.44 and 9,294 is: 13,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 50,878.44 = 9,294 : x
  2. Step 2: Convert to fraction form
    33,918/50,878.44 = 9,294/x
  3. Step 3: Cross multiply
    33,918x = 50,878.44 × 9,294
  4. Step 4: Simplify right side
    33,918x = 472,864,221.36
  5. Step 5: Solve for x
    x = 472,864,221.36/33,918
  6. Step 6: Final answer
    x = 13,941.39

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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.