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Finding the Fourth Proportional to 47,671.50, 71,504.10 and 19,584.22

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Solution

The fourth proportional to 47,671.50, 71,504.10 and 19,584.22 is: 29,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.50 : 71,504.10 = 19,584.22 : x
  2. Step 2: Convert to fraction form
    47,671.50/71,504.10 = 19,584.22/x
  3. Step 3: Cross multiply
    47,671.50x = 71,504.10 × 19,584.22
  4. Step 4: Simplify right side
    47,671.50x = 1,400,352,025.30
  5. Step 5: Solve for x
    x = 1,400,352,025.30/47,671.50
  6. Step 6: Final answer
    x = 29,375.04

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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.