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Finding the Fourth Proportional to 32,863.34, 49,318.77 and 13,147.40

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Solution

The fourth proportional to 32,863.34, 49,318.77 and 13,147.40 is: 19,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.34 : 49,318.77 = 13,147.40 : x
  2. Step 2: Convert to fraction form
    32,863.34/49,318.77 = 13,147.40/x
  3. Step 3: Cross multiply
    32,863.34x = 49,318.77 × 13,147.40
  4. Step 4: Simplify right side
    32,863.34x = 648,413,596.70
  5. Step 5: Solve for x
    x = 648,413,596.70/32,863.34
  6. Step 6: Final answer
    x = 19,730.61

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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.