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Finding the Fourth Proportional to 32,006.27, 48,009.40 and 8,632.70

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Solution

The fourth proportional to 32,006.27, 48,009.40 and 8,632.70 is: 12,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.27 : 48,009.40 = 8,632.70 : x
  2. Step 2: Convert to fraction form
    32,006.27/48,009.40 = 8,632.70/x
  3. Step 3: Cross multiply
    32,006.27x = 48,009.40 × 8,632.70
  4. Step 4: Simplify right side
    32,006.27x = 414,450,747.38
  5. Step 5: Solve for x
    x = 414,450,747.38/32,006.27
  6. Step 6: Final answer
    x = 12,949.05

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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.