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Finding the Fourth Proportional to 32,550.85, 48,783.75 and 17,755.80

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Solution

The fourth proportional to 32,550.85, 48,783.75 and 17,755.80 is: 26,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.85 : 48,783.75 = 17,755.80 : x
  2. Step 2: Convert to fraction form
    32,550.85/48,783.75 = 17,755.80/x
  3. Step 3: Cross multiply
    32,550.85x = 48,783.75 × 17,755.80
  4. Step 4: Simplify right side
    32,550.85x = 866,194,508.25
  5. Step 5: Solve for x
    x = 866,194,508.25/32,550.85
  6. Step 6: Final answer
    x = 26,610.50

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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.