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Finding the Fourth Proportional to 32,773.34, 49,163.20 and 13,047.27

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Solution

The fourth proportional to 32,773.34, 49,163.20 and 13,047.27 is: 19,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.34 : 49,163.20 = 13,047.27 : x
  2. Step 2: Convert to fraction form
    32,773.34/49,163.20 = 13,047.27/x
  3. Step 3: Cross multiply
    32,773.34x = 49,163.20 × 13,047.27
  4. Step 4: Simplify right side
    32,773.34x = 641,445,511.85
  5. Step 5: Solve for x
    x = 641,445,511.85/32,773.34
  6. Step 6: Final answer
    x = 19,572.18

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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.