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Finding the Fourth Proportional to 32,009.09, 48,012.41 and 8,636.13

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Solution

The fourth proportional to 32,009.09, 48,012.41 and 8,636.13 is: 12,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.09 : 48,012.41 = 8,636.13 : x
  2. Step 2: Convert to fraction form
    32,009.09/48,012.41 = 8,636.13/x
  3. Step 3: Cross multiply
    32,009.09x = 48,012.41 × 8,636.13
  4. Step 4: Simplify right side
    32,009.09x = 414,641,435.96
  5. Step 5: Solve for x
    x = 414,641,435.96/32,009.09
  6. Step 6: Final answer
    x = 12,953.87

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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.