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Finding the Fourth Proportional to 32,776.22, 49,171.62 and 9,404.48

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Solution

The fourth proportional to 32,776.22, 49,171.62 and 9,404.48 is: 14,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.22 : 49,171.62 = 9,404.48 : x
  2. Step 2: Convert to fraction form
    32,776.22/49,171.62 = 9,404.48/x
  3. Step 3: Cross multiply
    32,776.22x = 49,171.62 × 9,404.48
  4. Step 4: Simplify right side
    32,776.22x = 462,433,516.86
  5. Step 5: Solve for x
    x = 462,433,516.86/32,776.22
  6. Step 6: Final answer
    x = 14,108.81

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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.