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Finding the Fourth Proportional to 32,911.52, 49,367.88 and 9,537.75

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Solution

The fourth proportional to 32,911.52, 49,367.88 and 9,537.75 is: 14,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.52 : 49,367.88 = 9,537.75 : x
  2. Step 2: Convert to fraction form
    32,911.52/49,367.88 = 9,537.75/x
  3. Step 3: Cross multiply
    32,911.52x = 49,367.88 × 9,537.75
  4. Step 4: Simplify right side
    32,911.52x = 470,858,497.47
  5. Step 5: Solve for x
    x = 470,858,497.47/32,911.52
  6. Step 6: Final answer
    x = 14,306.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.