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Finding the Fourth Proportional to 44,850, 61,893 and 24,978

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Solution

The fourth proportional to 44,850, 61,893 and 24,978 is: 34,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,850 : 61,893 = 24,978 : x
  2. Step 2: Convert to fraction form
    44,850/61,893 = 24,978/x
  3. Step 3: Cross multiply
    44,850x = 61,893 × 24,978
  4. Step 4: Simplify right side
    44,850x = 1,545,963,354
  5. Step 5: Solve for x
    x = 1,545,963,354/44,850
  6. Step 6: Final answer
    x = 34,469.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.