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Finding the Fourth Proportional to 30,406.50, 45,572.31 and 21,593.70

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Solution

The fourth proportional to 30,406.50, 45,572.31 and 21,593.70 is: 32,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.50 : 45,572.31 = 21,593.70 : x
  2. Step 2: Convert to fraction form
    30,406.50/45,572.31 = 21,593.70/x
  3. Step 3: Cross multiply
    30,406.50x = 45,572.31 × 21,593.70
  4. Step 4: Simplify right side
    30,406.50x = 984,074,790.45
  5. Step 5: Solve for x
    x = 984,074,790.45/30,406.50
  6. Step 6: Final answer
    x = 32,363.96

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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.