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Finding the Fourth Proportional to 32,013.43, 47,990.37 and 14,234.74

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Solution

The fourth proportional to 32,013.43, 47,990.37 and 14,234.74 is: 21,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.43 : 47,990.37 = 14,234.74 : x
  2. Step 2: Convert to fraction form
    32,013.43/47,990.37 = 14,234.74/x
  3. Step 3: Cross multiply
    32,013.43x = 47,990.37 × 14,234.74
  4. Step 4: Simplify right side
    32,013.43x = 683,130,372.86
  5. Step 5: Solve for x
    x = 683,130,372.86/32,013.43
  6. Step 6: Final answer
    x = 21,338.87

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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.