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Finding the Fourth Proportional to 30,755.10, 42,446.07 and 17,328.96

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Solution

The fourth proportional to 30,755.10, 42,446.07 and 17,328.96 is: 23,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.10 : 42,446.07 = 17,328.96 : x
  2. Step 2: Convert to fraction form
    30,755.10/42,446.07 = 17,328.96/x
  3. Step 3: Cross multiply
    30,755.10x = 42,446.07 × 17,328.96
  4. Step 4: Simplify right side
    30,755.10x = 735,546,249.19
  5. Step 5: Solve for x
    x = 735,546,249.19/30,755.10
  6. Step 6: Final answer
    x = 23,916.24

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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.