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Finding the Fourth Proportional to 32,990.70, 49,418.85 and 20,472.30

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Solution

The fourth proportional to 32,990.70, 49,418.85 and 20,472.30 is: 30,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.70 : 49,418.85 = 20,472.30 : x
  2. Step 2: Convert to fraction form
    32,990.70/49,418.85 = 20,472.30/x
  3. Step 3: Cross multiply
    32,990.70x = 49,418.85 × 20,472.30
  4. Step 4: Simplify right side
    32,990.70x = 1,011,717,522.86
  5. Step 5: Solve for x
    x = 1,011,717,522.86/32,990.70
  6. Step 6: Final answer
    x = 30,666.75

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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.