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Finding the Fourth Proportional to 32,834.27, 49,297.03 and 22,815.42

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Solution

The fourth proportional to 32,834.27, 49,297.03 and 22,815.42 is: 34,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.27 : 49,297.03 = 22,815.42 : x
  2. Step 2: Convert to fraction form
    32,834.27/49,297.03 = 22,815.42/x
  3. Step 3: Cross multiply
    32,834.27x = 49,297.03 × 22,815.42
  4. Step 4: Simplify right side
    32,834.27x = 1,124,732,543.76
  5. Step 5: Solve for x
    x = 1,124,732,543.76/32,834.27
  6. Step 6: Final answer
    x = 34,254.83

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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.