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Finding the Fourth Proportional to 41,398, 62,103.48 and 13,702.48

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Solution

The fourth proportional to 41,398, 62,103.48 and 13,702.48 is: 20,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398 : 62,103.48 = 13,702.48 : x
  2. Step 2: Convert to fraction form
    41,398/62,103.48 = 13,702.48/x
  3. Step 3: Cross multiply
    41,398x = 62,103.48 × 13,702.48
  4. Step 4: Simplify right side
    41,398x = 850,971,692.63
  5. Step 5: Solve for x
    x = 850,971,692.63/41,398
  6. Step 6: Final answer
    x = 20,555.86

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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.