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Finding the Fourth Proportional to 30,410.16, 41,962.32 and 16,982.16

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Solution

The fourth proportional to 30,410.16, 41,962.32 and 16,982.16 is: 23,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.16 : 41,962.32 = 16,982.16 : x
  2. Step 2: Convert to fraction form
    30,410.16/41,962.32 = 16,982.16/x
  3. Step 3: Cross multiply
    30,410.16x = 41,962.32 × 16,982.16
  4. Step 4: Simplify right side
    30,410.16x = 712,610,832.21
  5. Step 5: Solve for x
    x = 712,610,832.21/30,410.16
  6. Step 6: Final answer
    x = 23,433.31

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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.