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Finding the Fourth Proportional to 30,379.50, 45,592.74 and 21,084.75

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Solution

The fourth proportional to 30,379.50, 45,592.74 and 21,084.75 is: 31,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.50 : 45,592.74 = 21,084.75 : x
  2. Step 2: Convert to fraction form
    30,379.50/45,592.74 = 21,084.75/x
  3. Step 3: Cross multiply
    30,379.50x = 45,592.74 × 21,084.75
  4. Step 4: Simplify right side
    30,379.50x = 961,311,524.72
  5. Step 5: Solve for x
    x = 961,311,524.72/30,379.50
  6. Step 6: Final answer
    x = 31,643.43

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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.