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Finding the Fourth Proportional to 32,440.26, 48,660.78 and 11,663.76

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Solution

The fourth proportional to 32,440.26, 48,660.78 and 11,663.76 is: 17,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.26 : 48,660.78 = 11,663.76 : x
  2. Step 2: Convert to fraction form
    32,440.26/48,660.78 = 11,663.76/x
  3. Step 3: Cross multiply
    32,440.26x = 48,660.78 × 11,663.76
  4. Step 4: Simplify right side
    32,440.26x = 567,567,659.33
  5. Step 5: Solve for x
    x = 567,567,659.33/32,440.26
  6. Step 6: Final answer
    x = 17,495.78

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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.