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Finding the Fourth Proportional to 30,584.49, 42,201.24 and 17,156.31

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Solution

The fourth proportional to 30,584.49, 42,201.24 and 17,156.31 is: 23,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.49 : 42,201.24 = 17,156.31 : x
  2. Step 2: Convert to fraction form
    30,584.49/42,201.24 = 17,156.31/x
  3. Step 3: Cross multiply
    30,584.49x = 42,201.24 × 17,156.31
  4. Step 4: Simplify right side
    30,584.49x = 724,017,333.23
  5. Step 5: Solve for x
    x = 724,017,333.23/30,584.49
  6. Step 6: Final answer
    x = 23,672.70

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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.