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Finding the Fourth Proportional to 34,102.16, 51,160.20 and 14,380.68

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Solution

The fourth proportional to 34,102.16, 51,160.20 and 14,380.68 is: 21,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.16 : 51,160.20 = 14,380.68 : x
  2. Step 2: Convert to fraction form
    34,102.16/51,160.20 = 14,380.68/x
  3. Step 3: Cross multiply
    34,102.16x = 51,160.20 × 14,380.68
  4. Step 4: Simplify right side
    34,102.16x = 735,718,464.94
  5. Step 5: Solve for x
    x = 735,718,464.94/34,102.16
  6. Step 6: Final answer
    x = 21,573.95

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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.