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Finding the Fourth Proportional to 32,406.62, 48,608.30 and 12,688.80

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Solution

The fourth proportional to 32,406.62, 48,608.30 and 12,688.80 is: 19,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.62 : 48,608.30 = 12,688.80 : x
  2. Step 2: Convert to fraction form
    32,406.62/48,608.30 = 12,688.80/x
  3. Step 3: Cross multiply
    32,406.62x = 48,608.30 × 12,688.80
  4. Step 4: Simplify right side
    32,406.62x = 616,780,997.04
  5. Step 5: Solve for x
    x = 616,780,997.04/32,406.62
  6. Step 6: Final answer
    x = 19,032.56

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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.