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Finding the Fourth Proportional to 47,843.87, 71,765.85 and 22,878.05

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Solution

The fourth proportional to 47,843.87, 71,765.85 and 22,878.05 is: 34,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.87 : 71,765.85 = 22,878.05 : x
  2. Step 2: Convert to fraction form
    47,843.87/71,765.85 = 22,878.05/x
  3. Step 3: Cross multiply
    47,843.87x = 71,765.85 × 22,878.05
  4. Step 4: Simplify right side
    47,843.87x = 1,641,862,704.59
  5. Step 5: Solve for x
    x = 1,641,862,704.59/47,843.87
  6. Step 6: Final answer
    x = 34,317.10

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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.