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Finding the Fourth Proportional to 84,692.23, 127,017.07 and 34,786.10

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Solution

The fourth proportional to 84,692.23, 127,017.07 and 34,786.10 is: 52,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,692.23 : 127,017.07 = 34,786.10 : x
  2. Step 2: Convert to fraction form
    84,692.23/127,017.07 = 34,786.10/x
  3. Step 3: Cross multiply
    84,692.23x = 127,017.07 × 34,786.10
  4. Step 4: Simplify right side
    84,692.23x = 4,418,428,498.73
  5. Step 5: Solve for x
    x = 4,418,428,498.73/84,692.23
  6. Step 6: Final answer
    x = 52,170.41

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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.