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Finding the Fourth Proportional to 32,071.92, 44,257.34 and 17,730.89

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Solution

The fourth proportional to 32,071.92, 44,257.34 and 17,730.89 is: 24,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.92 : 44,257.34 = 17,730.89 : x
  2. Step 2: Convert to fraction form
    32,071.92/44,257.34 = 17,730.89/x
  3. Step 3: Cross multiply
    32,071.92x = 44,257.34 × 17,730.89
  4. Step 4: Simplify right side
    32,071.92x = 784,722,027.23
  5. Step 5: Solve for x
    x = 784,722,027.23/32,071.92
  6. Step 6: Final answer
    x = 24,467.57

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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.