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Finding the Fourth Proportional to 34,331.46, 51,484.23 and 15,850.50

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Solution

The fourth proportional to 34,331.46, 51,484.23 and 15,850.50 is: 23,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,331.46 : 51,484.23 = 15,850.50 : x
  2. Step 2: Convert to fraction form
    34,331.46/51,484.23 = 15,850.50/x
  3. Step 3: Cross multiply
    34,331.46x = 51,484.23 × 15,850.50
  4. Step 4: Simplify right side
    34,331.46x = 816,050,787.62
  5. Step 5: Solve for x
    x = 816,050,787.62/34,331.46
  6. Step 6: Final answer
    x = 23,769.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.