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Finding the Fourth Proportional to 34,097.38, 51,144.90 and 16,562.50

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Solution

The fourth proportional to 34,097.38, 51,144.90 and 16,562.50 is: 24,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.38 : 51,144.90 = 16,562.50 : x
  2. Step 2: Convert to fraction form
    34,097.38/51,144.90 = 16,562.50/x
  3. Step 3: Cross multiply
    34,097.38x = 51,144.90 × 16,562.50
  4. Step 4: Simplify right side
    34,097.38x = 847,087,406.25
  5. Step 5: Solve for x
    x = 847,087,406.25/34,097.38
  6. Step 6: Final answer
    x = 24,843.18

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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.