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Finding the Fourth Proportional to 29,641.95, 40,906.82 and 16,213.57

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Solution

The fourth proportional to 29,641.95, 40,906.82 and 16,213.57 is: 22,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641.95 : 40,906.82 = 16,213.57 : x
  2. Step 2: Convert to fraction form
    29,641.95/40,906.82 = 16,213.57/x
  3. Step 3: Cross multiply
    29,641.95x = 40,906.82 × 16,213.57
  4. Step 4: Simplify right side
    29,641.95x = 663,245,527.81
  5. Step 5: Solve for x
    x = 663,245,527.81/29,641.95
  6. Step 6: Final answer
    x = 22,375.23

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1.5x scale

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.