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Finding the Fourth Proportional to 101,796.12, 152,692.56 and 31,679.28

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Solution

The fourth proportional to 101,796.12, 152,692.56 and 31,679.28 is: 47,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.12 : 152,692.56 = 31,679.28 : x
  2. Step 2: Convert to fraction form
    101,796.12/152,692.56 = 31,679.28/x
  3. Step 3: Cross multiply
    101,796.12x = 152,692.56 × 31,679.28
  4. Step 4: Simplify right side
    101,796.12x = 4,837,190,362.16
  5. Step 5: Solve for x
    x = 4,837,190,362.16/101,796.12
  6. Step 6: Final answer
    x = 47,518.42

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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.