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Finding the Fourth Proportional to 34,096.38, 51,143.40 and 16,561.50

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Solution

The fourth proportional to 34,096.38, 51,143.40 and 16,561.50 is: 24,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096.38 : 51,143.40 = 16,561.50 : x
  2. Step 2: Convert to fraction form
    34,096.38/51,143.40 = 16,561.50/x
  3. Step 3: Cross multiply
    34,096.38x = 51,143.40 × 16,561.50
  4. Step 4: Simplify right side
    34,096.38x = 847,011,419.10
  5. Step 5: Solve for x
    x = 847,011,419.10/34,096.38
  6. Step 6: Final answer
    x = 24,841.68

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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.