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Finding the Fourth Proportional to 32,814.27, 49,222.14 and 11,755.71

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Solution

The fourth proportional to 32,814.27, 49,222.14 and 11,755.71 is: 17,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.27 : 49,222.14 = 11,755.71 : x
  2. Step 2: Convert to fraction form
    32,814.27/49,222.14 = 11,755.71/x
  3. Step 3: Cross multiply
    32,814.27x = 49,222.14 × 11,755.71
  4. Step 4: Simplify right side
    32,814.27x = 578,641,203.42
  5. Step 5: Solve for x
    x = 578,641,203.42/32,814.27
  6. Step 6: Final answer
    x = 17,633.83

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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.