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Finding the Fourth Proportional to 30,982.36, 42,755.92 and 16,835.20

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Solution

The fourth proportional to 30,982.36, 42,755.92 and 16,835.20 is: 23,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.36 : 42,755.92 = 16,835.20 : x
  2. Step 2: Convert to fraction form
    30,982.36/42,755.92 = 16,835.20/x
  3. Step 3: Cross multiply
    30,982.36x = 42,755.92 × 16,835.20
  4. Step 4: Simplify right side
    30,982.36x = 719,804,464.38
  5. Step 5: Solve for x
    x = 719,804,464.38/30,982.36
  6. Step 6: Final answer
    x = 23,232.72

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Why These Related Problems?

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