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Finding the Fourth Proportional to 33,977.60, 50,980.80 and 16,438.40

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Solution

The fourth proportional to 33,977.60, 50,980.80 and 16,438.40 is: 24,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.60 : 50,980.80 = 16,438.40 : x
  2. Step 2: Convert to fraction form
    33,977.60/50,980.80 = 16,438.40/x
  3. Step 3: Cross multiply
    33,977.60x = 50,980.80 × 16,438.40
  4. Step 4: Simplify right side
    33,977.60x = 838,042,782.72
  5. Step 5: Solve for x
    x = 838,042,782.72/33,977.60
  6. Step 6: Final answer
    x = 24,664.57

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1.5x scale

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.