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Finding the Fourth Proportional to 30,371.50, 45,580.74 and 21,076.75

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Solution

The fourth proportional to 30,371.50, 45,580.74 and 21,076.75 is: 31,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.50 : 45,580.74 = 21,076.75 : x
  2. Step 2: Convert to fraction form
    30,371.50/45,580.74 = 21,076.75/x
  3. Step 3: Cross multiply
    30,371.50x = 45,580.74 × 21,076.75
  4. Step 4: Simplify right side
    30,371.50x = 960,693,861.80
  5. Step 5: Solve for x
    x = 960,693,861.80/30,371.50
  6. Step 6: Final answer
    x = 31,631.43

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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.