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Finding the Fourth Proportional to 30,734.51, 42,409.21 and 17,122.46

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Solution

The fourth proportional to 30,734.51, 42,409.21 and 17,122.46 is: 23,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.51 : 42,409.21 = 17,122.46 : x
  2. Step 2: Convert to fraction form
    30,734.51/42,409.21 = 17,122.46/x
  3. Step 3: Cross multiply
    30,734.51x = 42,409.21 × 17,122.46
  4. Step 4: Simplify right side
    30,734.51x = 726,150,017.66
  5. Step 5: Solve for x
    x = 726,150,017.66/30,734.51
  6. Step 6: Final answer
    x = 23,626.54

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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.