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Finding the Fourth Proportional to 34,084.50, 51,123.42 and 10,706.82

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Solution

The fourth proportional to 34,084.50, 51,123.42 and 10,706.82 is: 16,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.50 : 51,123.42 = 10,706.82 : x
  2. Step 2: Convert to fraction form
    34,084.50/51,123.42 = 10,706.82/x
  3. Step 3: Cross multiply
    34,084.50x = 51,123.42 × 10,706.82
  4. Step 4: Simplify right side
    34,084.50x = 547,369,255.72
  5. Step 5: Solve for x
    x = 547,369,255.72/34,084.50
  6. Step 6: Final answer
    x = 16,059.18

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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.