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Finding the Fourth Proportional to 32,311.69, 48,471.01 and 13,593.63

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Solution

The fourth proportional to 32,311.69, 48,471.01 and 13,593.63 is: 20,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.69 : 48,471.01 = 13,593.63 : x
  2. Step 2: Convert to fraction form
    32,311.69/48,471.01 = 13,593.63/x
  3. Step 3: Cross multiply
    32,311.69x = 48,471.01 × 13,593.63
  4. Step 4: Simplify right side
    32,311.69x = 658,896,941.68
  5. Step 5: Solve for x
    x = 658,896,941.68/32,311.69
  6. Step 6: Final answer
    x = 20,391.91

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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.