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Finding the Fourth Proportional to 34,429.85, 51,638.84 and 9,129.54

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Solution

The fourth proportional to 34,429.85, 51,638.84 and 9,129.54 is: 13,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429.85 : 51,638.84 = 9,129.54 : x
  2. Step 2: Convert to fraction form
    34,429.85/51,638.84 = 9,129.54/x
  3. Step 3: Cross multiply
    34,429.85x = 51,638.84 × 9,129.54
  4. Step 4: Simplify right side
    34,429.85x = 471,439,037.57
  5. Step 5: Solve for x
    x = 471,439,037.57/34,429.85
  6. Step 6: Final answer
    x = 13,692.74

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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.