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Finding the Fourth Proportional to 32,469.81, 48,706.55 and 9,098.07

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Solution

The fourth proportional to 32,469.81, 48,706.55 and 9,098.07 is: 13,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.81 : 48,706.55 = 9,098.07 : x
  2. Step 2: Convert to fraction form
    32,469.81/48,706.55 = 9,098.07/x
  3. Step 3: Cross multiply
    32,469.81x = 48,706.55 × 9,098.07
  4. Step 4: Simplify right side
    32,469.81x = 443,135,555.87
  5. Step 5: Solve for x
    x = 443,135,555.87/32,469.81
  6. Step 6: Final answer
    x = 13,647.62

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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.