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Finding the Fourth Proportional to 32,014.35, 48,020.28 and 8,641.38

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Solution

The fourth proportional to 32,014.35, 48,020.28 and 8,641.38 is: 12,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.35 : 48,020.28 = 8,641.38 : x
  2. Step 2: Convert to fraction form
    32,014.35/48,020.28 = 8,641.38/x
  3. Step 3: Cross multiply
    32,014.35x = 48,020.28 × 8,641.38
  4. Step 4: Simplify right side
    32,014.35x = 414,961,487.19
  5. Step 5: Solve for x
    x = 414,961,487.19/32,014.35
  6. Step 6: Final answer
    x = 12,961.73

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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.