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Finding the Fourth Proportional to 30,735.65, 42,410.69 and 17,304.23

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Solution

The fourth proportional to 30,735.65, 42,410.69 and 17,304.23 is: 23,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.65 : 42,410.69 = 17,304.23 : x
  2. Step 2: Convert to fraction form
    30,735.65/42,410.69 = 17,304.23/x
  3. Step 3: Cross multiply
    30,735.65x = 42,410.69 × 17,304.23
  4. Step 4: Simplify right side
    30,735.65x = 733,884,418.62
  5. Step 5: Solve for x
    x = 733,884,418.62/30,735.65
  6. Step 6: Final answer
    x = 23,877.30

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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.