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Finding the Fourth Proportional to 57,714.60, 86,571.90 and 31,470.60

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Solution

The fourth proportional to 57,714.60, 86,571.90 and 31,470.60 is: 47,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.60 : 86,571.90 = 31,470.60 : x
  2. Step 2: Convert to fraction form
    57,714.60/86,571.90 = 31,470.60/x
  3. Step 3: Cross multiply
    57,714.60x = 86,571.90 × 31,470.60
  4. Step 4: Simplify right side
    57,714.60x = 2,724,469,636.14
  5. Step 5: Solve for x
    x = 2,724,469,636.14/57,714.60
  6. Step 6: Final answer
    x = 47,205.90

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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.