Home / 34,123.50-51,178.20-9,157.62

Finding the Fourth Proportional to 34,123.50, 51,178.20 and 9,157.62

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Solution

The fourth proportional to 34,123.50, 51,178.20 and 9,157.62 is: 13,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.50 : 51,178.20 = 9,157.62 : x
  2. Step 2: Convert to fraction form
    34,123.50/51,178.20 = 9,157.62/x
  3. Step 3: Cross multiply
    34,123.50x = 51,178.20 × 9,157.62
  4. Step 4: Simplify right side
    34,123.50x = 468,670,507.88
  5. Step 5: Solve for x
    x = 468,670,507.88/34,123.50
  6. Step 6: Final answer
    x = 13,734.54

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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.