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Finding the Fourth Proportional to 29,942.34, 41,328.36 and 17,688.48

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Solution

The fourth proportional to 29,942.34, 41,328.36 and 17,688.48 is: 24,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.34 : 41,328.36 = 17,688.48 : x
  2. Step 2: Convert to fraction form
    29,942.34/41,328.36 = 17,688.48/x
  3. Step 3: Cross multiply
    29,942.34x = 41,328.36 × 17,688.48
  4. Step 4: Simplify right side
    29,942.34x = 731,035,869.29
  5. Step 5: Solve for x
    x = 731,035,869.29/29,942.34
  6. Step 6: Final answer
    x = 24,414.79

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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.