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Finding the Fourth Proportional to 55,294.80, 82,876.56 and 31,872.84

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Solution

The fourth proportional to 55,294.80, 82,876.56 and 31,872.84 is: 47,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,294.80 : 82,876.56 = 31,872.84 : x
  2. Step 2: Convert to fraction form
    55,294.80/82,876.56 = 31,872.84/x
  3. Step 3: Cross multiply
    55,294.80x = 82,876.56 × 31,872.84
  4. Step 4: Simplify right side
    55,294.80x = 2,641,511,336.63
  5. Step 5: Solve for x
    x = 2,641,511,336.63/55,294.80
  6. Step 6: Final answer
    x = 47,771.42

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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.