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Finding the Fourth Proportional to 32,450.46, 48,753.45 and 20,786.46

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Solution

The fourth proportional to 32,450.46, 48,753.45 and 20,786.46 is: 31,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.46 : 48,753.45 = 20,786.46 : x
  2. Step 2: Convert to fraction form
    32,450.46/48,753.45 = 20,786.46/x
  3. Step 3: Cross multiply
    32,450.46x = 48,753.45 × 20,786.46
  4. Step 4: Simplify right side
    32,450.46x = 1,013,411,638.29
  5. Step 5: Solve for x
    x = 1,013,411,638.29/32,450.46
  6. Step 6: Final answer
    x = 31,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.