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Finding the Fourth Proportional to 32,563.26, 48,845.16 and 9,189.90

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Solution

The fourth proportional to 32,563.26, 48,845.16 and 9,189.90 is: 13,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.26 : 48,845.16 = 9,189.90 : x
  2. Step 2: Convert to fraction form
    32,563.26/48,845.16 = 9,189.90/x
  3. Step 3: Cross multiply
    32,563.26x = 48,845.16 × 9,189.90
  4. Step 4: Simplify right side
    32,563.26x = 448,882,135.88
  5. Step 5: Solve for x
    x = 448,882,135.88/32,563.26
  6. Step 6: Final answer
    x = 13,784.93

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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.