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Finding the Fourth Proportional to 34,103.08, 51,134.14 and 14,097.16

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Solution

The fourth proportional to 34,103.08, 51,134.14 and 14,097.16 is: 21,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,103.08 : 51,134.14 = 14,097.16 : x
  2. Step 2: Convert to fraction form
    34,103.08/51,134.14 = 14,097.16/x
  3. Step 3: Cross multiply
    34,103.08x = 51,134.14 × 14,097.16
  4. Step 4: Simplify right side
    34,103.08x = 720,846,153.04
  5. Step 5: Solve for x
    x = 720,846,153.04/34,103.08
  6. Step 6: Final answer
    x = 21,137.27

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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.