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Finding the Fourth Proportional to 32,004.30, 48,006.45 and 16,452.30

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Solution

The fourth proportional to 32,004.30, 48,006.45 and 16,452.30 is: 24,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.30 : 48,006.45 = 16,452.30 : x
  2. Step 2: Convert to fraction form
    32,004.30/48,006.45 = 16,452.30/x
  3. Step 3: Cross multiply
    32,004.30x = 48,006.45 × 16,452.30
  4. Step 4: Simplify right side
    32,004.30x = 789,816,517.34
  5. Step 5: Solve for x
    x = 789,816,517.34/32,004.30
  6. Step 6: Final answer
    x = 24,678.45

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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.