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Finding the Fourth Proportional to 30,123.69, 45,213.59 and 15,343.73

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Solution

The fourth proportional to 30,123.69, 45,213.59 and 15,343.73 is: 23,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.69 : 45,213.59 = 15,343.73 : x
  2. Step 2: Convert to fraction form
    30,123.69/45,213.59 = 15,343.73/x
  3. Step 3: Cross multiply
    30,123.69x = 45,213.59 × 15,343.73
  4. Step 4: Simplify right side
    30,123.69x = 693,744,814.50
  5. Step 5: Solve for x
    x = 693,744,814.50/30,123.69
  6. Step 6: Final answer
    x = 23,029.87

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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.