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Finding the Fourth Proportional to 30,057.50, 45,056.94 and 12,532.34

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Solution

The fourth proportional to 30,057.50, 45,056.94 and 12,532.34 is: 18,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.50 : 45,056.94 = 12,532.34 : x
  2. Step 2: Convert to fraction form
    30,057.50/45,056.94 = 12,532.34/x
  3. Step 3: Cross multiply
    30,057.50x = 45,056.94 × 12,532.34
  4. Step 4: Simplify right side
    30,057.50x = 564,668,891.44
  5. Step 5: Solve for x
    x = 564,668,891.44/30,057.50
  6. Step 6: Final answer
    x = 18,786.29

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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.