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Finding the Fourth Proportional to 36,563.60, 54,877.80 and 31,314.80

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Solution

The fourth proportional to 36,563.60, 54,877.80 and 31,314.80 is: 46,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563.60 : 54,877.80 = 31,314.80 : x
  2. Step 2: Convert to fraction form
    36,563.60/54,877.80 = 31,314.80/x
  3. Step 3: Cross multiply
    36,563.60x = 54,877.80 × 31,314.80
  4. Step 4: Simplify right side
    36,563.60x = 1,718,487,331.44
  5. Step 5: Solve for x
    x = 1,718,487,331.44/36,563.60
  6. Step 6: Final answer
    x = 46,999.95

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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.