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Finding the Fourth Proportional to 36,257.60, 54,321.60 and 31,073.60

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Solution

The fourth proportional to 36,257.60, 54,321.60 and 31,073.60 is: 46,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,257.60 : 54,321.60 = 31,073.60 : x
  2. Step 2: Convert to fraction form
    36,257.60/54,321.60 = 31,073.60/x
  3. Step 3: Cross multiply
    36,257.60x = 54,321.60 × 31,073.60
  4. Step 4: Simplify right side
    36,257.60x = 1,687,967,669.76
  5. Step 5: Solve for x
    x = 1,687,967,669.76/36,257.60
  6. Step 6: Final answer
    x = 46,554.86

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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.