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Finding the Fourth Proportional to 51,952.36, 71,692.82 and 29,291.16

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Solution

The fourth proportional to 51,952.36, 71,692.82 and 29,291.16 is: 40,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.36 : 71,692.82 = 29,291.16 : x
  2. Step 2: Convert to fraction form
    51,952.36/71,692.82 = 29,291.16/x
  3. Step 3: Cross multiply
    51,952.36x = 71,692.82 × 29,291.16
  4. Step 4: Simplify right side
    51,952.36x = 2,099,965,503.01
  5. Step 5: Solve for x
    x = 2,099,965,503.01/51,952.36
  6. Step 6: Final answer
    x = 40,420.98

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