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Finding the Fourth Proportional to 34,692.82, 52,023 and 12,503.27

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Solution

The fourth proportional to 34,692.82, 52,023 and 12,503.27 is: 18,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.82 : 52,023 = 12,503.27 : x
  2. Step 2: Convert to fraction form
    34,692.82/52,023 = 12,503.27/x
  3. Step 3: Cross multiply
    34,692.82x = 52,023 × 12,503.27
  4. Step 4: Simplify right side
    34,692.82x = 650,457,615.21
  5. Step 5: Solve for x
    x = 650,457,615.21/34,692.82
  6. Step 6: Final answer
    x = 18,749.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.