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Finding the Fourth Proportional to 34,734.25, 52,101.50 and 8,438.99

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Solution

The fourth proportional to 34,734.25, 52,101.50 and 8,438.99 is: 12,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734.25 : 52,101.50 = 8,438.99 : x
  2. Step 2: Convert to fraction form
    34,734.25/52,101.50 = 8,438.99/x
  3. Step 3: Cross multiply
    34,734.25x = 52,101.50 × 8,438.99
  4. Step 4: Simplify right side
    34,734.25x = 439,684,037.49
  5. Step 5: Solve for x
    x = 439,684,037.49/34,734.25
  6. Step 6: Final answer
    x = 12,658.52

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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.