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Finding the Fourth Proportional to 32,000.64, 44,160.57 and 17,660.60

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Solution

The fourth proportional to 32,000.64, 44,160.57 and 17,660.60 is: 24,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.64 : 44,160.57 = 17,660.60 : x
  2. Step 2: Convert to fraction form
    32,000.64/44,160.57 = 17,660.60/x
  3. Step 3: Cross multiply
    32,000.64x = 44,160.57 × 17,660.60
  4. Step 4: Simplify right side
    32,000.64x = 779,902,162.54
  5. Step 5: Solve for x
    x = 779,902,162.54/32,000.64
  6. Step 6: Final answer
    x = 24,371.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.