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Finding the Fourth Proportional to 32,605.52, 48,910.20 and 9,230

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Solution

The fourth proportional to 32,605.52, 48,910.20 and 9,230 is: 13,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.52 : 48,910.20 = 9,230 : x
  2. Step 2: Convert to fraction form
    32,605.52/48,910.20 = 9,230/x
  3. Step 3: Cross multiply
    32,605.52x = 48,910.20 × 9,230
  4. Step 4: Simplify right side
    32,605.52x = 451,441,146
  5. Step 5: Solve for x
    x = 451,441,146/32,605.52
  6. Step 6: Final answer
    x = 13,845.54

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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.