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Finding the Fourth Proportional to 44,967.08, 67,398.10 and 33,838

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Solution

The fourth proportional to 44,967.08, 67,398.10 and 33,838 is: 50,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,967.08 : 67,398.10 = 33,838 : x
  2. Step 2: Convert to fraction form
    44,967.08/67,398.10 = 33,838/x
  3. Step 3: Cross multiply
    44,967.08x = 67,398.10 × 33,838
  4. Step 4: Simplify right side
    44,967.08x = 2,280,616,907.80
  5. Step 5: Solve for x
    x = 2,280,616,907.80/44,967.08
  6. Step 6: Final answer
    x = 50,717.48

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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.