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Finding the Fourth Proportional to 30,074.32, 41,499.70 and 20,364

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Solution

The fourth proportional to 30,074.32, 41,499.70 and 20,364 is: 28,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.32 : 41,499.70 = 20,364 : x
  2. Step 2: Convert to fraction form
    30,074.32/41,499.70 = 20,364/x
  3. Step 3: Cross multiply
    30,074.32x = 41,499.70 × 20,364
  4. Step 4: Simplify right side
    30,074.32x = 845,099,890.80
  5. Step 5: Solve for x
    x = 845,099,890.80/30,074.32
  6. Step 6: Final answer
    x = 28,100.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.